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Finding the Fourth Proportional to 5,839.20, 8,743.04 and 5,460.16

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Solution

The fourth proportional to 5,839.20, 8,743.04 and 5,460.16 is: 8,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.20 : 8,743.04 = 5,460.16 : x
  2. Step 2: Convert to fraction form
    5,839.20/8,743.04 = 5,460.16/x
  3. Step 3: Cross multiply
    5,839.20x = 8,743.04 × 5,460.16
  4. Step 4: Simplify right side
    5,839.20x = 47,738,397.29
  5. Step 5: Solve for x
    x = 47,738,397.29/5,839.20
  6. Step 6: Final answer
    x = 8,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.