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Finding the Fourth Proportional to 4,086.60, 6,129.90 and 2,139.40

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Solution

The fourth proportional to 4,086.60, 6,129.90 and 2,139.40 is: 3,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.60 : 6,129.90 = 2,139.40 : x
  2. Step 2: Convert to fraction form
    4,086.60/6,129.90 = 2,139.40/x
  3. Step 3: Cross multiply
    4,086.60x = 6,129.90 × 2,139.40
  4. Step 4: Simplify right side
    4,086.60x = 13,114,308.06
  5. Step 5: Solve for x
    x = 13,114,308.06/4,086.60
  6. Step 6: Final answer
    x = 3,209.10

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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.