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Finding the Fourth Proportional to 5,854.01, 8,078.31 and 3,494.48

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Solution

The fourth proportional to 5,854.01, 8,078.31 and 3,494.48 is: 4,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.01 : 8,078.31 = 3,494.48 : x
  2. Step 2: Convert to fraction form
    5,854.01/8,078.31 = 3,494.48/x
  3. Step 3: Cross multiply
    5,854.01x = 8,078.31 × 3,494.48
  4. Step 4: Simplify right side
    5,854.01x = 28,229,452.34
  5. Step 5: Solve for x
    x = 28,229,452.34/5,854.01
  6. Step 6: Final answer
    x = 4,822.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.