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Finding the Fourth Proportional to 6,452.40, 9,678.60 and 2,070.20

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Solution

The fourth proportional to 6,452.40, 9,678.60 and 2,070.20 is: 3,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.40 : 9,678.60 = 2,070.20 : x
  2. Step 2: Convert to fraction form
    6,452.40/9,678.60 = 2,070.20/x
  3. Step 3: Cross multiply
    6,452.40x = 9,678.60 × 2,070.20
  4. Step 4: Simplify right side
    6,452.40x = 20,036,589.33
  5. Step 5: Solve for x
    x = 20,036,589.33/6,452.40
  6. Step 6: Final answer
    x = 3,105.29

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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.