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Finding the Fourth Proportional to 3,512.90, 5,264.94 and 3,073.12

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Solution

The fourth proportional to 3,512.90, 5,264.94 and 3,073.12 is: 4,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.90 : 5,264.94 = 3,073.12 : x
  2. Step 2: Convert to fraction form
    3,512.90/5,264.94 = 3,073.12/x
  3. Step 3: Cross multiply
    3,512.90x = 5,264.94 × 3,073.12
  4. Step 4: Simplify right side
    3,512.90x = 16,179,792.41
  5. Step 5: Solve for x
    x = 16,179,792.41/3,512.90
  6. Step 6: Final answer
    x = 4,605.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.