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Finding the Fourth Proportional to 3,494.90, 5,246.40 and 2,109.80

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Solution

The fourth proportional to 3,494.90, 5,246.40 and 2,109.80 is: 3,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.90 : 5,246.40 = 2,109.80 : x
  2. Step 2: Convert to fraction form
    3,494.90/5,246.40 = 2,109.80/x
  3. Step 3: Cross multiply
    3,494.90x = 5,246.40 × 2,109.80
  4. Step 4: Simplify right side
    3,494.90x = 11,068,854.72
  5. Step 5: Solve for x
    x = 11,068,854.72/3,494.90
  6. Step 6: Final answer
    x = 3,167.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.