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Finding the Fourth Proportional to 4,176.52, 6,265.14 and 1,711.48

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Solution

The fourth proportional to 4,176.52, 6,265.14 and 1,711.48 is: 2,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.52 : 6,265.14 = 1,711.48 : x
  2. Step 2: Convert to fraction form
    4,176.52/6,265.14 = 1,711.48/x
  3. Step 3: Cross multiply
    4,176.52x = 6,265.14 × 1,711.48
  4. Step 4: Simplify right side
    4,176.52x = 10,722,661.81
  5. Step 5: Solve for x
    x = 10,722,661.81/4,176.52
  6. Step 6: Final answer
    x = 2,567.37

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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.