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Finding the Fourth Proportional to 4,659.11, 6,991.40 and 4,298.25

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Solution

The fourth proportional to 4,659.11, 6,991.40 and 4,298.25 is: 6,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.11 : 6,991.40 = 4,298.25 : x
  2. Step 2: Convert to fraction form
    4,659.11/6,991.40 = 4,298.25/x
  3. Step 3: Cross multiply
    4,659.11x = 6,991.40 × 4,298.25
  4. Step 4: Simplify right side
    4,659.11x = 30,050,785.05
  5. Step 5: Solve for x
    x = 30,050,785.05/4,659.11
  6. Step 6: Final answer
    x = 6,449.90

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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.