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Finding the Fourth Proportional to 3,566.14, 5,348.35 and 1,486.17

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Solution

The fourth proportional to 3,566.14, 5,348.35 and 1,486.17 is: 2,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.14 : 5,348.35 = 1,486.17 : x
  2. Step 2: Convert to fraction form
    3,566.14/5,348.35 = 1,486.17/x
  3. Step 3: Cross multiply
    3,566.14x = 5,348.35 × 1,486.17
  4. Step 4: Simplify right side
    3,566.14x = 7,948,578.40
  5. Step 5: Solve for x
    x = 7,948,578.40/3,566.14
  6. Step 6: Final answer
    x = 2,228.90

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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.