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Finding the Fourth Proportional to 5,915.64, 8,876.70 and 3,969.48

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Solution

The fourth proportional to 5,915.64, 8,876.70 and 3,969.48 is: 5,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.64 : 8,876.70 = 3,969.48 : x
  2. Step 2: Convert to fraction form
    5,915.64/8,876.70 = 3,969.48/x
  3. Step 3: Cross multiply
    5,915.64x = 8,876.70 × 3,969.48
  4. Step 4: Simplify right side
    5,915.64x = 35,235,883.12
  5. Step 5: Solve for x
    x = 35,235,883.12/5,915.64
  6. Step 6: Final answer
    x = 5,956.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.