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Finding the Fourth Proportional to 5,713.88, 8,572.08 and 2,429.78

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Solution

The fourth proportional to 5,713.88, 8,572.08 and 2,429.78 is: 3,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.88 : 8,572.08 = 2,429.78 : x
  2. Step 2: Convert to fraction form
    5,713.88/8,572.08 = 2,429.78/x
  3. Step 3: Cross multiply
    5,713.88x = 8,572.08 × 2,429.78
  4. Step 4: Simplify right side
    5,713.88x = 20,828,268.54
  5. Step 5: Solve for x
    x = 20,828,268.54/5,713.88
  6. Step 6: Final answer
    x = 3,645.21

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