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Finding the Fourth Proportional to 4,159.32, 5,737.08 and 4,016.76

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Solution

The fourth proportional to 4,159.32, 5,737.08 and 4,016.76 is: 5,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.32 : 5,737.08 = 4,016.76 : x
  2. Step 2: Convert to fraction form
    4,159.32/5,737.08 = 4,016.76/x
  3. Step 3: Cross multiply
    4,159.32x = 5,737.08 × 4,016.76
  4. Step 4: Simplify right side
    4,159.32x = 23,044,473.46
  5. Step 5: Solve for x
    x = 23,044,473.46/4,159.32
  6. Step 6: Final answer
    x = 5,540.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.