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Finding the Fourth Proportional to 3,689.00, 5,534.72 and 1,497.14

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Solution

The fourth proportional to 3,689.00, 5,534.72 and 1,497.14 is: 2,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.00 : 5,534.72 = 1,497.14 : x
  2. Step 2: Convert to fraction form
    3,689.00/5,534.72 = 1,497.14/x
  3. Step 3: Cross multiply
    3,689.00x = 5,534.72 × 1,497.14
  4. Step 4: Simplify right side
    3,689.00x = 8,286,229.38
  5. Step 5: Solve for x
    x = 8,286,229.38/3,689.00
  6. Step 6: Final answer
    x = 2,246.20

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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.