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Finding the Fourth Proportional to 3,569.67, 5,354.55 and 1,261.17

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Solution

The fourth proportional to 3,569.67, 5,354.55 and 1,261.17 is: 1,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.67 : 5,354.55 = 1,261.17 : x
  2. Step 2: Convert to fraction form
    3,569.67/5,354.55 = 1,261.17/x
  3. Step 3: Cross multiply
    3,569.67x = 5,354.55 × 1,261.17
  4. Step 4: Simplify right side
    3,569.67x = 6,752,997.82
  5. Step 5: Solve for x
    x = 6,752,997.82/3,569.67
  6. Step 6: Final answer
    x = 1,891.77

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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.