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Finding the Fourth Proportional to 3,689.73, 5,534.58 and 1,498.44

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Solution

The fourth proportional to 3,689.73, 5,534.58 and 1,498.44 is: 2,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.73 : 5,534.58 = 1,498.44 : x
  2. Step 2: Convert to fraction form
    3,689.73/5,534.58 = 1,498.44/x
  3. Step 3: Cross multiply
    3,689.73x = 5,534.58 × 1,498.44
  4. Step 4: Simplify right side
    3,689.73x = 8,293,236.06
  5. Step 5: Solve for x
    x = 8,293,236.06/3,689.73
  6. Step 6: Final answer
    x = 2,247.65

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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.