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Finding the Fourth Proportional to 5,854.62, 8,078.60 and 3,496.26

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Solution

The fourth proportional to 5,854.62, 8,078.60 and 3,496.26 is: 4,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.62 : 8,078.60 = 3,496.26 : x
  2. Step 2: Convert to fraction form
    5,854.62/8,078.60 = 3,496.26/x
  3. Step 3: Cross multiply
    5,854.62x = 8,078.60 × 3,496.26
  4. Step 4: Simplify right side
    5,854.62x = 28,244,886.04
  5. Step 5: Solve for x
    x = 28,244,886.04/5,854.62
  6. Step 6: Final answer
    x = 4,824.38

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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.