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Finding the Fourth Proportional to 6,397.87, 8,829.33 and 3,565.24

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Solution

The fourth proportional to 6,397.87, 8,829.33 and 3,565.24 is: 4,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.87 : 8,829.33 = 3,565.24 : x
  2. Step 2: Convert to fraction form
    6,397.87/8,829.33 = 3,565.24/x
  3. Step 3: Cross multiply
    6,397.87x = 8,829.33 × 3,565.24
  4. Step 4: Simplify right side
    6,397.87x = 31,478,678.16
  5. Step 5: Solve for x
    x = 31,478,678.16/6,397.87
  6. Step 6: Final answer
    x = 4,920.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.