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Finding the Fourth Proportional to 3,444.62, 5,158.71 and 1,882.28

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Solution

The fourth proportional to 3,444.62, 5,158.71 and 1,882.28 is: 2,818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.62 : 5,158.71 = 1,882.28 : x
  2. Step 2: Convert to fraction form
    3,444.62/5,158.71 = 1,882.28/x
  3. Step 3: Cross multiply
    3,444.62x = 5,158.71 × 1,882.28
  4. Step 4: Simplify right side
    3,444.62x = 9,710,110.87
  5. Step 5: Solve for x
    x = 9,710,110.87/3,444.62
  6. Step 6: Final answer
    x = 2,818.92

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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.