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Finding the Fourth Proportional to 3,568.90, 5,348.56 and 1,486.49

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Solution

The fourth proportional to 3,568.90, 5,348.56 and 1,486.49 is: 2,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.90 : 5,348.56 = 1,486.49 : x
  2. Step 2: Convert to fraction form
    3,568.90/5,348.56 = 1,486.49/x
  3. Step 3: Cross multiply
    3,568.90x = 5,348.56 × 1,486.49
  4. Step 4: Simplify right side
    3,568.90x = 7,950,580.95
  5. Step 5: Solve for x
    x = 7,950,580.95/3,568.90
  6. Step 6: Final answer
    x = 2,227.74

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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.