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Finding the Fourth Proportional to 3,862.84, 5,329.92 and 2,290.36

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Solution

The fourth proportional to 3,862.84, 5,329.92 and 2,290.36 is: 3,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.84 : 5,329.92 = 2,290.36 : x
  2. Step 2: Convert to fraction form
    3,862.84/5,329.92 = 2,290.36/x
  3. Step 3: Cross multiply
    3,862.84x = 5,329.92 × 2,290.36
  4. Step 4: Simplify right side
    3,862.84x = 12,207,435.57
  5. Step 5: Solve for x
    x = 12,207,435.57/3,862.84
  6. Step 6: Final answer
    x = 3,160.22

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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.