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Finding the Fourth Proportional to 3,706.18, 5,559.27 and 932.88

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Solution

The fourth proportional to 3,706.18, 5,559.27 and 932.88 is: 1,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.18 : 5,559.27 = 932.88 : x
  2. Step 2: Convert to fraction form
    3,706.18/5,559.27 = 932.88/x
  3. Step 3: Cross multiply
    3,706.18x = 5,559.27 × 932.88
  4. Step 4: Simplify right side
    3,706.18x = 5,186,123.05
  5. Step 5: Solve for x
    x = 5,186,123.05/3,706.18
  6. Step 6: Final answer
    x = 1,399.32

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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.