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Finding the Fourth Proportional to 5,588.52, 7,705.82 and 3,569.28

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Solution

The fourth proportional to 5,588.52, 7,705.82 and 3,569.28 is: 4,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.52 : 7,705.82 = 3,569.28 : x
  2. Step 2: Convert to fraction form
    5,588.52/7,705.82 = 3,569.28/x
  3. Step 3: Cross multiply
    5,588.52x = 7,705.82 × 3,569.28
  4. Step 4: Simplify right side
    5,588.52x = 27,504,229.21
  5. Step 5: Solve for x
    x = 27,504,229.21/5,588.52
  6. Step 6: Final answer
    x = 4,921.56

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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.