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Finding the Fourth Proportional to 3,494.68, 4,822.59 and 2,002.52

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Solution

The fourth proportional to 3,494.68, 4,822.59 and 2,002.52 is: 2,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.68 : 4,822.59 = 2,002.52 : x
  2. Step 2: Convert to fraction form
    3,494.68/4,822.59 = 2,002.52/x
  3. Step 3: Cross multiply
    3,494.68x = 4,822.59 × 2,002.52
  4. Step 4: Simplify right side
    3,494.68x = 9,657,332.93
  5. Step 5: Solve for x
    x = 9,657,332.93/3,494.68
  6. Step 6: Final answer
    x = 2,763.44

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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.