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Finding the Fourth Proportional to 4,675.57, 6,452.28 and 2,686.20

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Solution

The fourth proportional to 4,675.57, 6,452.28 and 2,686.20 is: 3,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.57 : 6,452.28 = 2,686.20 : x
  2. Step 2: Convert to fraction form
    4,675.57/6,452.28 = 2,686.20/x
  3. Step 3: Cross multiply
    4,675.57x = 6,452.28 × 2,686.20
  4. Step 4: Simplify right side
    4,675.57x = 17,332,097.89
  5. Step 5: Solve for x
    x = 17,332,097.89/4,675.57
  6. Step 6: Final answer
    x = 3,706.95

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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.