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Finding the Fourth Proportional to 5,264.40, 7,262.25 and 3,138.43

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Solution

The fourth proportional to 5,264.40, 7,262.25 and 3,138.43 is: 4,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.40 : 7,262.25 = 3,138.43 : x
  2. Step 2: Convert to fraction form
    5,264.40/7,262.25 = 3,138.43/x
  3. Step 3: Cross multiply
    5,264.40x = 7,262.25 × 3,138.43
  4. Step 4: Simplify right side
    5,264.40x = 22,792,091.85
  5. Step 5: Solve for x
    x = 22,792,091.85/5,264.40
  6. Step 6: Final answer
    x = 4,329.48

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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.