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Finding the Fourth Proportional to 5,728.84, 8,593.88 and 2,442.28

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Solution

The fourth proportional to 5,728.84, 8,593.88 and 2,442.28 is: 3,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.84 : 8,593.88 = 2,442.28 : x
  2. Step 2: Convert to fraction form
    5,728.84/8,593.88 = 2,442.28/x
  3. Step 3: Cross multiply
    5,728.84x = 8,593.88 × 2,442.28
  4. Step 4: Simplify right side
    5,728.84x = 20,988,661.25
  5. Step 5: Solve for x
    x = 20,988,661.25/5,728.84
  6. Step 6: Final answer
    x = 3,663.68

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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.