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Finding the Fourth Proportional to 3,915.17, 5,402.71 and 2,146.44

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Solution

The fourth proportional to 3,915.17, 5,402.71 and 2,146.44 is: 2,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.17 : 5,402.71 = 2,146.44 : x
  2. Step 2: Convert to fraction form
    3,915.17/5,402.71 = 2,146.44/x
  3. Step 3: Cross multiply
    3,915.17x = 5,402.71 × 2,146.44
  4. Step 4: Simplify right side
    3,915.17x = 11,596,592.85
  5. Step 5: Solve for x
    x = 11,596,592.85/3,915.17
  6. Step 6: Final answer
    x = 2,961.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.