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Finding the Fourth Proportional to 5,713.65, 8,566.33 and 3,860.17

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Solution

The fourth proportional to 5,713.65, 8,566.33 and 3,860.17 is: 5,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.65 : 8,566.33 = 3,860.17 : x
  2. Step 2: Convert to fraction form
    5,713.65/8,566.33 = 3,860.17/x
  3. Step 3: Cross multiply
    5,713.65x = 8,566.33 × 3,860.17
  4. Step 4: Simplify right side
    5,713.65x = 33,067,490.08
  5. Step 5: Solve for x
    x = 33,067,490.08/5,713.65
  6. Step 6: Final answer
    x = 5,787.45

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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.