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Finding the Fourth Proportional to 5,744.97, 8,616.43 and 1,528.25

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Solution

The fourth proportional to 5,744.97, 8,616.43 and 1,528.25 is: 2,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.97 : 8,616.43 = 1,528.25 : x
  2. Step 2: Convert to fraction form
    5,744.97/8,616.43 = 1,528.25/x
  3. Step 3: Cross multiply
    5,744.97x = 8,616.43 × 1,528.25
  4. Step 4: Simplify right side
    5,744.97x = 13,168,034.13
  5. Step 5: Solve for x
    x = 13,168,034.13/5,744.97
  6. Step 6: Final answer
    x = 2,292.10

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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.