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Finding the Fourth Proportional to 5,177.88, 7,754.66 and 4,502.14

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Solution

The fourth proportional to 5,177.88, 7,754.66 and 4,502.14 is: 6,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.88 : 7,754.66 = 4,502.14 : x
  2. Step 2: Convert to fraction form
    5,177.88/7,754.66 = 4,502.14/x
  3. Step 3: Cross multiply
    5,177.88x = 7,754.66 × 4,502.14
  4. Step 4: Simplify right side
    5,177.88x = 34,912,564.97
  5. Step 5: Solve for x
    x = 34,912,564.97/5,177.88
  6. Step 6: Final answer
    x = 6,742.64

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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.