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Finding the Fourth Proportional to 3,897.43, 5,846.51 and 1,432.29

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Solution

The fourth proportional to 3,897.43, 5,846.51 and 1,432.29 is: 2,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.43 : 5,846.51 = 1,432.29 : x
  2. Step 2: Convert to fraction form
    3,897.43/5,846.51 = 1,432.29/x
  3. Step 3: Cross multiply
    3,897.43x = 5,846.51 × 1,432.29
  4. Step 4: Simplify right side
    3,897.43x = 8,373,923.31
  5. Step 5: Solve for x
    x = 8,373,923.31/3,897.43
  6. Step 6: Final answer
    x = 2,148.58

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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.