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Finding the Fourth Proportional to 3,691.62, 5,532.57 and 2,047.32

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Solution

The fourth proportional to 3,691.62, 5,532.57 and 2,047.32 is: 3,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.62 : 5,532.57 = 2,047.32 : x
  2. Step 2: Convert to fraction form
    3,691.62/5,532.57 = 2,047.32/x
  3. Step 3: Cross multiply
    3,691.62x = 5,532.57 × 2,047.32
  4. Step 4: Simplify right side
    3,691.62x = 11,326,941.21
  5. Step 5: Solve for x
    x = 11,326,941.21/3,691.62
  6. Step 6: Final answer
    x = 3,068.28

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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.