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Finding the Fourth Proportional to 4,177.16, 6,265.74 and 1,713.14

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Solution

The fourth proportional to 4,177.16, 6,265.74 and 1,713.14 is: 2,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.16 : 6,265.74 = 1,713.14 : x
  2. Step 2: Convert to fraction form
    4,177.16/6,265.74 = 1,713.14/x
  3. Step 3: Cross multiply
    4,177.16x = 6,265.74 × 1,713.14
  4. Step 4: Simplify right side
    4,177.16x = 10,734,089.82
  5. Step 5: Solve for x
    x = 10,734,089.82/4,177.16
  6. Step 6: Final answer
    x = 2,569.71

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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.