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Finding the Fourth Proportional to 6,454.08, 9,679.10 and 2,070.56

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Solution

The fourth proportional to 6,454.08, 9,679.10 and 2,070.56 is: 3,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.08 : 9,679.10 = 2,070.56 : x
  2. Step 2: Convert to fraction form
    6,454.08/9,679.10 = 2,070.56/x
  3. Step 3: Cross multiply
    6,454.08x = 9,679.10 × 2,070.56
  4. Step 4: Simplify right side
    6,454.08x = 20,041,171.14
  5. Step 5: Solve for x
    x = 20,041,171.14/6,454.08
  6. Step 6: Final answer
    x = 3,105.19

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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.