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Finding the Fourth Proportional to 7,735.52, 11,600.48 and 2,540

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Solution

The fourth proportional to 7,735.52, 11,600.48 and 2,540 is: 3,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.52 : 11,600.48 = 2,540 : x
  2. Step 2: Convert to fraction form
    7,735.52/11,600.48 = 2,540/x
  3. Step 3: Cross multiply
    7,735.52x = 11,600.48 × 2,540
  4. Step 4: Simplify right side
    7,735.52x = 29,465,219.20
  5. Step 5: Solve for x
    x = 29,465,219.20/7,735.52
  6. Step 6: Final answer
    x = 3,809.08

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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.