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Finding the Fourth Proportional to 4,155.57, 5,722.45 and 3,713.31

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Solution

The fourth proportional to 4,155.57, 5,722.45 and 3,713.31 is: 5,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.57 : 5,722.45 = 3,713.31 : x
  2. Step 2: Convert to fraction form
    4,155.57/5,722.45 = 3,713.31/x
  3. Step 3: Cross multiply
    4,155.57x = 5,722.45 × 3,713.31
  4. Step 4: Simplify right side
    4,155.57x = 21,249,221.53
  5. Step 5: Solve for x
    x = 21,249,221.53/4,155.57
  6. Step 6: Final answer
    x = 5,113.43

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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.