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Finding the Fourth Proportional to 5,757, 8,634.47 and 1,540.32

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Solution

The fourth proportional to 5,757, 8,634.47 and 1,540.32 is: 2,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757 : 8,634.47 = 1,540.32 : x
  2. Step 2: Convert to fraction form
    5,757/8,634.47 = 1,540.32/x
  3. Step 3: Cross multiply
    5,757x = 8,634.47 × 1,540.32
  4. Step 4: Simplify right side
    5,757x = 13,299,839.13
  5. Step 5: Solve for x
    x = 13,299,839.13/5,757
  6. Step 6: Final answer
    x = 2,310.20

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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.