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Finding the Fourth Proportional to 3,897.32, 5,842.33 and 1,431.47

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Solution

The fourth proportional to 3,897.32, 5,842.33 and 1,431.47 is: 2,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.32 : 5,842.33 = 1,431.47 : x
  2. Step 2: Convert to fraction form
    3,897.32/5,842.33 = 1,431.47/x
  3. Step 3: Cross multiply
    3,897.32x = 5,842.33 × 1,431.47
  4. Step 4: Simplify right side
    3,897.32x = 8,363,131.15
  5. Step 5: Solve for x
    x = 8,363,131.15/3,897.32
  6. Step 6: Final answer
    x = 2,145.87

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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.