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Finding the Fourth Proportional to 5,141.98, 7,712.92 and 1,445.24

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Solution

The fourth proportional to 5,141.98, 7,712.92 and 1,445.24 is: 2,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.98 : 7,712.92 = 1,445.24 : x
  2. Step 2: Convert to fraction form
    5,141.98/7,712.92 = 1,445.24/x
  3. Step 3: Cross multiply
    5,141.98x = 7,712.92 × 1,445.24
  4. Step 4: Simplify right side
    5,141.98x = 11,147,041.59
  5. Step 5: Solve for x
    x = 11,147,041.59/5,141.98
  6. Step 6: Final answer
    x = 2,167.85

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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.