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Finding the Fourth Proportional to 6,608.40, 9,898.80 and 3,101.40

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Solution

The fourth proportional to 6,608.40, 9,898.80 and 3,101.40 is: 4,645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.40 : 9,898.80 = 3,101.40 : x
  2. Step 2: Convert to fraction form
    6,608.40/9,898.80 = 3,101.40/x
  3. Step 3: Cross multiply
    6,608.40x = 9,898.80 × 3,101.40
  4. Step 4: Simplify right side
    6,608.40x = 30,700,138.32
  5. Step 5: Solve for x
    x = 30,700,138.32/6,608.40
  6. Step 6: Final answer
    x = 4,645.62

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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.