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Finding the Fourth Proportional to 5,172.47, 7,758.71 and 1,276.88

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Solution

The fourth proportional to 5,172.47, 7,758.71 and 1,276.88 is: 1,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.47 : 7,758.71 = 1,276.88 : x
  2. Step 2: Convert to fraction form
    5,172.47/7,758.71 = 1,276.88/x
  3. Step 3: Cross multiply
    5,172.47x = 7,758.71 × 1,276.88
  4. Step 4: Simplify right side
    5,172.47x = 9,906,896.45
  5. Step 5: Solve for x
    x = 9,906,896.45/5,172.47
  6. Step 6: Final answer
    x = 1,915.31

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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.