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Finding the Fourth Proportional to 3,379.74, 5,070.17 and 1,431.96

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Solution

The fourth proportional to 3,379.74, 5,070.17 and 1,431.96 is: 2,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.74 : 5,070.17 = 1,431.96 : x
  2. Step 2: Convert to fraction form
    3,379.74/5,070.17 = 1,431.96/x
  3. Step 3: Cross multiply
    3,379.74x = 5,070.17 × 1,431.96
  4. Step 4: Simplify right side
    3,379.74x = 7,260,248.12
  5. Step 5: Solve for x
    x = 7,260,248.12/3,379.74
  6. Step 6: Final answer
    x = 2,148.17

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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.