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Finding the Fourth Proportional to 5,938.77, 8,909.25 and 1,989.64

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Solution

The fourth proportional to 5,938.77, 8,909.25 and 1,989.64 is: 2,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.77 : 8,909.25 = 1,989.64 : x
  2. Step 2: Convert to fraction form
    5,938.77/8,909.25 = 1,989.64/x
  3. Step 3: Cross multiply
    5,938.77x = 8,909.25 × 1,989.64
  4. Step 4: Simplify right side
    5,938.77x = 17,726,200.17
  5. Step 5: Solve for x
    x = 17,726,200.17/5,938.77
  6. Step 6: Final answer
    x = 2,984.83

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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.