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Finding the Fourth Proportional to 6,107.90, 9,155.70 and 2,408.70

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Solution

The fourth proportional to 6,107.90, 9,155.70 and 2,408.70 is: 3,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.90 : 9,155.70 = 2,408.70 : x
  2. Step 2: Convert to fraction form
    6,107.90/9,155.70 = 2,408.70/x
  3. Step 3: Cross multiply
    6,107.90x = 9,155.70 × 2,408.70
  4. Step 4: Simplify right side
    6,107.90x = 22,053,334.59
  5. Step 5: Solve for x
    x = 22,053,334.59/6,107.90
  6. Step 6: Final answer
    x = 3,610.62

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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.