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Finding the Fourth Proportional to 4,970.99, 6,864.41 and 3,709.85

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Solution

The fourth proportional to 4,970.99, 6,864.41 and 3,709.85 is: 5,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.99 : 6,864.41 = 3,709.85 : x
  2. Step 2: Convert to fraction form
    4,970.99/6,864.41 = 3,709.85/x
  3. Step 3: Cross multiply
    4,970.99x = 6,864.41 × 3,709.85
  4. Step 4: Simplify right side
    4,970.99x = 25,465,878.57
  5. Step 5: Solve for x
    x = 25,465,878.57/4,970.99
  6. Step 6: Final answer
    x = 5,122.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.