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Finding the Fourth Proportional to 4,354.78, 6,532.17 and 1,276.78

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Solution

The fourth proportional to 4,354.78, 6,532.17 and 1,276.78 is: 1,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.78 : 6,532.17 = 1,276.78 : x
  2. Step 2: Convert to fraction form
    4,354.78/6,532.17 = 1,276.78/x
  3. Step 3: Cross multiply
    4,354.78x = 6,532.17 × 1,276.78
  4. Step 4: Simplify right side
    4,354.78x = 8,340,144.01
  5. Step 5: Solve for x
    x = 8,340,144.01/4,354.78
  6. Step 6: Final answer
    x = 1,915.17

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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.