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Finding the Fourth Proportional to 3,659.49, 5,489.78 and 1,062.63

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Solution

The fourth proportional to 3,659.49, 5,489.78 and 1,062.63 is: 1,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.49 : 5,489.78 = 1,062.63 : x
  2. Step 2: Convert to fraction form
    3,659.49/5,489.78 = 1,062.63/x
  3. Step 3: Cross multiply
    3,659.49x = 5,489.78 × 1,062.63
  4. Step 4: Simplify right side
    3,659.49x = 5,833,599.61
  5. Step 5: Solve for x
    x = 5,833,599.61/3,659.49
  6. Step 6: Final answer
    x = 1,594.10

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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.