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Finding the Fourth Proportional to 6,456.10, 8,898.77 and 4,565.24

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Solution

The fourth proportional to 6,456.10, 8,898.77 and 4,565.24 is: 6,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.10 : 8,898.77 = 4,565.24 : x
  2. Step 2: Convert to fraction form
    6,456.10/8,898.77 = 4,565.24/x
  3. Step 3: Cross multiply
    6,456.10x = 8,898.77 × 4,565.24
  4. Step 4: Simplify right side
    6,456.10x = 40,625,020.75
  5. Step 5: Solve for x
    x = 40,625,020.75/6,456.10
  6. Step 6: Final answer
    x = 6,292.50

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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.