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Finding the Fourth Proportional to 3,893.12, 5,840 and 1,943.52

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Solution

The fourth proportional to 3,893.12, 5,840 and 1,943.52 is: 2,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.12 : 5,840 = 1,943.52 : x
  2. Step 2: Convert to fraction form
    3,893.12/5,840 = 1,943.52/x
  3. Step 3: Cross multiply
    3,893.12x = 5,840 × 1,943.52
  4. Step 4: Simplify right side
    3,893.12x = 11,350,156.80
  5. Step 5: Solve for x
    x = 11,350,156.80/3,893.12
  6. Step 6: Final answer
    x = 2,915.44

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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.