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Finding the Fourth Proportional to 3,494.45, 4,824.32 and 2,685.39

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Solution

The fourth proportional to 3,494.45, 4,824.32 and 2,685.39 is: 3,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.45 : 4,824.32 = 2,685.39 : x
  2. Step 2: Convert to fraction form
    3,494.45/4,824.32 = 2,685.39/x
  3. Step 3: Cross multiply
    3,494.45x = 4,824.32 × 2,685.39
  4. Step 4: Simplify right side
    3,494.45x = 12,955,167.26
  5. Step 5: Solve for x
    x = 12,955,167.26/3,494.45
  6. Step 6: Final answer
    x = 3,707.36

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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.