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Finding the Fourth Proportional to 3,637.82, 5,432.07 and 2,889.02

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Solution

The fourth proportional to 3,637.82, 5,432.07 and 2,889.02 is: 4,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.82 : 5,432.07 = 2,889.02 : x
  2. Step 2: Convert to fraction form
    3,637.82/5,432.07 = 2,889.02/x
  3. Step 3: Cross multiply
    3,637.82x = 5,432.07 × 2,889.02
  4. Step 4: Simplify right side
    3,637.82x = 15,693,358.91
  5. Step 5: Solve for x
    x = 15,693,358.91/3,637.82
  6. Step 6: Final answer
    x = 4,313.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.