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Finding the Fourth Proportional to 5,728.84, 7,882.89 and 5,557.66

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Solution

The fourth proportional to 5,728.84, 7,882.89 and 5,557.66 is: 7,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.84 : 7,882.89 = 5,557.66 : x
  2. Step 2: Convert to fraction form
    5,728.84/7,882.89 = 5,557.66/x
  3. Step 3: Cross multiply
    5,728.84x = 7,882.89 × 5,557.66
  4. Step 4: Simplify right side
    5,728.84x = 43,810,422.44
  5. Step 5: Solve for x
    x = 43,810,422.44/5,728.84
  6. Step 6: Final answer
    x = 7,647.35

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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.