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Finding the Fourth Proportional to 4,657.86, 6,428.16 and 2,562.12

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Solution

The fourth proportional to 4,657.86, 6,428.16 and 2,562.12 is: 3,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.86 : 6,428.16 = 2,562.12 : x
  2. Step 2: Convert to fraction form
    4,657.86/6,428.16 = 2,562.12/x
  3. Step 3: Cross multiply
    4,657.86x = 6,428.16 × 2,562.12
  4. Step 4: Simplify right side
    4,657.86x = 16,469,717.30
  5. Step 5: Solve for x
    x = 16,469,717.30/4,657.86
  6. Step 6: Final answer
    x = 3,535.90

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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.