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Finding the Fourth Proportional to 6,457.90, 8,912.10 and 4,572.86

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Solution

The fourth proportional to 6,457.90, 8,912.10 and 4,572.86 is: 6,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.90 : 8,912.10 = 4,572.86 : x
  2. Step 2: Convert to fraction form
    6,457.90/8,912.10 = 4,572.86/x
  3. Step 3: Cross multiply
    6,457.90x = 8,912.10 × 4,572.86
  4. Step 4: Simplify right side
    6,457.90x = 40,753,785.61
  5. Step 5: Solve for x
    x = 40,753,785.61/6,457.90
  6. Step 6: Final answer
    x = 6,310.69

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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.