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Finding the Fourth Proportional to 5,709,869.88, 8,562,092.94 and 3,314,448.78

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Solution

The fourth proportional to 5,709,869.88, 8,562,092.94 and 3,314,448.78 is: 4,970,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,869.88 : 8,562,092.94 = 3,314,448.78 : x
  2. Step 2: Convert to fraction form
    5,709,869.88/8,562,092.94 = 3,314,448.78/x
  3. Step 3: Cross multiply
    5,709,869.88x = 8,562,092.94 × 3,314,448.78
  4. Step 4: Simplify right side
    5,709,869.88x = 28,378,618,499,229.61
  5. Step 5: Solve for x
    x = 28,378,618,499,229.61/5,709,869.88
  6. Step 6: Final answer
    x = 4,970,098.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.