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Finding the Fourth Proportional to 3,496.39, 4,814.61 and 3,418.78

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Solution

The fourth proportional to 3,496.39, 4,814.61 and 3,418.78 is: 4,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.39 : 4,814.61 = 3,418.78 : x
  2. Step 2: Convert to fraction form
    3,496.39/4,814.61 = 3,418.78/x
  3. Step 3: Cross multiply
    3,496.39x = 4,814.61 × 3,418.78
  4. Step 4: Simplify right side
    3,496.39x = 16,460,092.38
  5. Step 5: Solve for x
    x = 16,460,092.38/3,496.39
  6. Step 6: Final answer
    x = 4,707.74

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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.