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Finding the Fourth Proportional to 4,542.56, 6,808.71 and 2,315.15

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Solution

The fourth proportional to 4,542.56, 6,808.71 and 2,315.15 is: 3,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.56 : 6,808.71 = 2,315.15 : x
  2. Step 2: Convert to fraction form
    4,542.56/6,808.71 = 2,315.15/x
  3. Step 3: Cross multiply
    4,542.56x = 6,808.71 × 2,315.15
  4. Step 4: Simplify right side
    4,542.56x = 15,763,150.91
  5. Step 5: Solve for x
    x = 15,763,150.91/4,542.56
  6. Step 6: Final answer
    x = 3,470.11

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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.