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Finding the Fourth Proportional to 3,959.76, 5,459.51 and 2,540.95

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Solution

The fourth proportional to 3,959.76, 5,459.51 and 2,540.95 is: 3,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.76 : 5,459.51 = 2,540.95 : x
  2. Step 2: Convert to fraction form
    3,959.76/5,459.51 = 2,540.95/x
  3. Step 3: Cross multiply
    3,959.76x = 5,459.51 × 2,540.95
  4. Step 4: Simplify right side
    3,959.76x = 13,872,320.35
  5. Step 5: Solve for x
    x = 13,872,320.35/3,959.76
  6. Step 6: Final answer
    x = 3,503.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.