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Finding the Fourth Proportional to 5,150.58, 7,725.78 and 1,255.02

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Solution

The fourth proportional to 5,150.58, 7,725.78 and 1,255.02 is: 1,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.58 : 7,725.78 = 1,255.02 : x
  2. Step 2: Convert to fraction form
    5,150.58/7,725.78 = 1,255.02/x
  3. Step 3: Cross multiply
    5,150.58x = 7,725.78 × 1,255.02
  4. Step 4: Simplify right side
    5,150.58x = 9,696,008.42
  5. Step 5: Solve for x
    x = 9,696,008.42/5,150.58
  6. Step 6: Final answer
    x = 1,882.51

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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.