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Finding the Fourth Proportional to 3,862.44, 5,329.98 and 2,290.50

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Solution

The fourth proportional to 3,862.44, 5,329.98 and 2,290.50 is: 3,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.44 : 5,329.98 = 2,290.50 : x
  2. Step 2: Convert to fraction form
    3,862.44/5,329.98 = 2,290.50/x
  3. Step 3: Cross multiply
    3,862.44x = 5,329.98 × 2,290.50
  4. Step 4: Simplify right side
    3,862.44x = 12,208,319.19
  5. Step 5: Solve for x
    x = 12,208,319.19/3,862.44
  6. Step 6: Final answer
    x = 3,160.78

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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.