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Finding the Fourth Proportional to 4,675.71, 6,452.39 and 2,686.22

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Solution

The fourth proportional to 4,675.71, 6,452.39 and 2,686.22 is: 3,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.71 : 6,452.39 = 2,686.22 : x
  2. Step 2: Convert to fraction form
    4,675.71/6,452.39 = 2,686.22/x
  3. Step 3: Cross multiply
    4,675.71x = 6,452.39 × 2,686.22
  4. Step 4: Simplify right side
    4,675.71x = 17,332,539.07
  5. Step 5: Solve for x
    x = 17,332,539.07/4,675.71
  6. Step 6: Final answer
    x = 3,706.93

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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.