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Finding the Fourth Proportional to 3,733.68, 5,152.28 and 2,241.30

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Solution

The fourth proportional to 3,733.68, 5,152.28 and 2,241.30 is: 3,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.68 : 5,152.28 = 2,241.30 : x
  2. Step 2: Convert to fraction form
    3,733.68/5,152.28 = 2,241.30/x
  3. Step 3: Cross multiply
    3,733.68x = 5,152.28 × 2,241.30
  4. Step 4: Simplify right side
    3,733.68x = 11,547,805.16
  5. Step 5: Solve for x
    x = 11,547,805.16/3,733.68
  6. Step 6: Final answer
    x = 3,092.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.