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Finding the Fourth Proportional to 3,915.32, 5,403.02 and 2,146.82

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Solution

The fourth proportional to 3,915.32, 5,403.02 and 2,146.82 is: 2,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.32 : 5,403.02 = 2,146.82 : x
  2. Step 2: Convert to fraction form
    3,915.32/5,403.02 = 2,146.82/x
  3. Step 3: Cross multiply
    3,915.32x = 5,403.02 × 2,146.82
  4. Step 4: Simplify right side
    3,915.32x = 11,599,311.40
  5. Step 5: Solve for x
    x = 11,599,311.40/3,915.32
  6. Step 6: Final answer
    x = 2,962.54

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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.