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Finding the Fourth Proportional to 3,427.90, 5,141.98 and 962.93

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Solution

The fourth proportional to 3,427.90, 5,141.98 and 962.93 is: 1,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.90 : 5,141.98 = 962.93 : x
  2. Step 2: Convert to fraction form
    3,427.90/5,141.98 = 962.93/x
  3. Step 3: Cross multiply
    3,427.90x = 5,141.98 × 962.93
  4. Step 4: Simplify right side
    3,427.90x = 4,951,366.80
  5. Step 5: Solve for x
    x = 4,951,366.80/3,427.90
  6. Step 6: Final answer
    x = 1,444.43

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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.