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Finding the Fourth Proportional to 5,877.50, 8,816.07 and 1,494.94

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Solution

The fourth proportional to 5,877.50, 8,816.07 and 1,494.94 is: 2,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.50 : 8,816.07 = 1,494.94 : x
  2. Step 2: Convert to fraction form
    5,877.50/8,816.07 = 1,494.94/x
  3. Step 3: Cross multiply
    5,877.50x = 8,816.07 × 1,494.94
  4. Step 4: Simplify right side
    5,877.50x = 13,179,495.69
  5. Step 5: Solve for x
    x = 13,179,495.69/5,877.50
  6. Step 6: Final answer
    x = 2,242.36

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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.