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Finding the Fourth Proportional to 3,569.97, 4,927.26 and 2,153.89

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Solution

The fourth proportional to 3,569.97, 4,927.26 and 2,153.89 is: 2,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.97 : 4,927.26 = 2,153.89 : x
  2. Step 2: Convert to fraction form
    3,569.97/4,927.26 = 2,153.89/x
  3. Step 3: Cross multiply
    3,569.97x = 4,927.26 × 2,153.89
  4. Step 4: Simplify right side
    3,569.97x = 10,612,772.10
  5. Step 5: Solve for x
    x = 10,612,772.10/3,569.97
  6. Step 6: Final answer
    x = 2,972.79

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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.