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Finding the Fourth Proportional to 3,689.97, 5,536.43 and 1,498.87

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Solution

The fourth proportional to 3,689.97, 5,536.43 and 1,498.87 is: 2,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.97 : 5,536.43 = 1,498.87 : x
  2. Step 2: Convert to fraction form
    3,689.97/5,536.43 = 1,498.87/x
  3. Step 3: Cross multiply
    3,689.97x = 5,536.43 × 1,498.87
  4. Step 4: Simplify right side
    3,689.97x = 8,298,388.83
  5. Step 5: Solve for x
    x = 8,298,388.83/3,689.97
  6. Step 6: Final answer
    x = 2,248.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.