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Finding the Fourth Proportional to 3,689.39, 5,534.06 and 1,580.70

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Solution

The fourth proportional to 3,689.39, 5,534.06 and 1,580.70 is: 2,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.39 : 5,534.06 = 1,580.70 : x
  2. Step 2: Convert to fraction form
    3,689.39/5,534.06 = 1,580.70/x
  3. Step 3: Cross multiply
    3,689.39x = 5,534.06 × 1,580.70
  4. Step 4: Simplify right side
    3,689.39x = 8,747,700.38
  5. Step 5: Solve for x
    x = 8,747,700.38/3,689.39
  6. Step 6: Final answer
    x = 2,371.05

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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.