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Finding the Fourth Proportional to 3,854.90, 5,326.35 and 3,431.54

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Solution

The fourth proportional to 3,854.90, 5,326.35 and 3,431.54 is: 4,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.90 : 5,326.35 = 3,431.54 : x
  2. Step 2: Convert to fraction form
    3,854.90/5,326.35 = 3,431.54/x
  3. Step 3: Cross multiply
    3,854.90x = 5,326.35 × 3,431.54
  4. Step 4: Simplify right side
    3,854.90x = 18,277,583.08
  5. Step 5: Solve for x
    x = 18,277,583.08/3,854.90
  6. Step 6: Final answer
    x = 4,741.39

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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.