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Finding the Fourth Proportional to 5,691.33, 7,855.00 and 4,203.56

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Solution

The fourth proportional to 5,691.33, 7,855.00 and 4,203.56 is: 5,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.33 : 7,855.00 = 4,203.56 : x
  2. Step 2: Convert to fraction form
    5,691.33/7,855.00 = 4,203.56/x
  3. Step 3: Cross multiply
    5,691.33x = 7,855.00 × 4,203.56
  4. Step 4: Simplify right side
    5,691.33x = 33,018,972.93
  5. Step 5: Solve for x
    x = 33,018,972.93/5,691.33
  6. Step 6: Final answer
    x = 5,801.63

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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.