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Finding the Fourth Proportional to 5,225.62, 7,839.16 and 1,528.13

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Solution

The fourth proportional to 5,225.62, 7,839.16 and 1,528.13 is: 2,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.62 : 7,839.16 = 1,528.13 : x
  2. Step 2: Convert to fraction form
    5,225.62/7,839.16 = 1,528.13/x
  3. Step 3: Cross multiply
    5,225.62x = 7,839.16 × 1,528.13
  4. Step 4: Simplify right side
    5,225.62x = 11,979,218.29
  5. Step 5: Solve for x
    x = 11,979,218.29/5,225.62
  6. Step 6: Final answer
    x = 2,292.40

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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.