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Finding the Fourth Proportional to 3,915.66, 5,403.33 and 2,146.98

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Solution

The fourth proportional to 3,915.66, 5,403.33 and 2,146.98 is: 2,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.66 : 5,403.33 = 2,146.98 : x
  2. Step 2: Convert to fraction form
    3,915.66/5,403.33 = 2,146.98/x
  3. Step 3: Cross multiply
    3,915.66x = 5,403.33 × 2,146.98
  4. Step 4: Simplify right side
    3,915.66x = 11,600,841.44
  5. Step 5: Solve for x
    x = 11,600,841.44/3,915.66
  6. Step 6: Final answer
    x = 2,962.68

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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.