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Finding the Fourth Proportional to 3,941.64, 5,915.52 and 1,478.70

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Solution

The fourth proportional to 3,941.64, 5,915.52 and 1,478.70 is: 2,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.64 : 5,915.52 = 1,478.70 : x
  2. Step 2: Convert to fraction form
    3,941.64/5,915.52 = 1,478.70/x
  3. Step 3: Cross multiply
    3,941.64x = 5,915.52 × 1,478.70
  4. Step 4: Simplify right side
    3,941.64x = 8,747,279.42
  5. Step 5: Solve for x
    x = 8,747,279.42/3,941.64
  6. Step 6: Final answer
    x = 2,219.20

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