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Finding the Fourth Proportional to 3,697.57, 5,514.28 and 3,153.25

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Solution

The fourth proportional to 3,697.57, 5,514.28 and 3,153.25 is: 4,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.57 : 5,514.28 = 3,153.25 : x
  2. Step 2: Convert to fraction form
    3,697.57/5,514.28 = 3,153.25/x
  3. Step 3: Cross multiply
    3,697.57x = 5,514.28 × 3,153.25
  4. Step 4: Simplify right side
    3,697.57x = 17,387,911.29
  5. Step 5: Solve for x
    x = 17,387,911.29/3,697.57
  6. Step 6: Final answer
    x = 4,702.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.