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Finding the Fourth Proportional to 3,915.21, 5,403 and 2,146.83

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Solution

The fourth proportional to 3,915.21, 5,403 and 2,146.83 is: 2,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.21 : 5,403 = 2,146.83 : x
  2. Step 2: Convert to fraction form
    3,915.21/5,403 = 2,146.83/x
  3. Step 3: Cross multiply
    3,915.21x = 5,403 × 2,146.83
  4. Step 4: Simplify right side
    3,915.21x = 11,599,322.49
  5. Step 5: Solve for x
    x = 11,599,322.49/3,915.21
  6. Step 6: Final answer
    x = 2,962.63

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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.