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Finding the Fourth Proportional to 5,177.84, 7,149.48 and 4,179.92

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Solution

The fourth proportional to 5,177.84, 7,149.48 and 4,179.92 is: 5,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.84 : 7,149.48 = 4,179.92 : x
  2. Step 2: Convert to fraction form
    5,177.84/7,149.48 = 4,179.92/x
  3. Step 3: Cross multiply
    5,177.84x = 7,149.48 × 4,179.92
  4. Step 4: Simplify right side
    5,177.84x = 29,884,254.44
  5. Step 5: Solve for x
    x = 29,884,254.44/5,177.84
  6. Step 6: Final answer
    x = 5,771.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.