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Finding the Fourth Proportional to 3,710.65, 5,565.99 and 1,078.31

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Solution

The fourth proportional to 3,710.65, 5,565.99 and 1,078.31 is: 1,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.65 : 5,565.99 = 1,078.31 : x
  2. Step 2: Convert to fraction form
    3,710.65/5,565.99 = 1,078.31/x
  3. Step 3: Cross multiply
    3,710.65x = 5,565.99 × 1,078.31
  4. Step 4: Simplify right side
    3,710.65x = 6,001,862.68
  5. Step 5: Solve for x
    x = 6,001,862.68/3,710.65
  6. Step 6: Final answer
    x = 1,617.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.