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Finding the Fourth Proportional to 3,915.66, 5,403.63 and 2,147.30

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Solution

The fourth proportional to 3,915.66, 5,403.63 and 2,147.30 is: 2,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.66 : 5,403.63 = 2,147.30 : x
  2. Step 2: Convert to fraction form
    3,915.66/5,403.63 = 2,147.30/x
  3. Step 3: Cross multiply
    3,915.66x = 5,403.63 × 2,147.30
  4. Step 4: Simplify right side
    3,915.66x = 11,603,187.68
  5. Step 5: Solve for x
    x = 11,603,187.68/3,915.66
  6. Step 6: Final answer
    x = 2,963.28

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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.