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Finding the Fourth Proportional to 4,565.82, 6,287 and 3,766.16

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Solution

The fourth proportional to 4,565.82, 6,287 and 3,766.16 is: 5,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.82 : 6,287 = 3,766.16 : x
  2. Step 2: Convert to fraction form
    4,565.82/6,287 = 3,766.16/x
  3. Step 3: Cross multiply
    4,565.82x = 6,287 × 3,766.16
  4. Step 4: Simplify right side
    4,565.82x = 23,677,847.92
  5. Step 5: Solve for x
    x = 23,677,847.92/4,565.82
  6. Step 6: Final answer
    x = 5,185.89

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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.