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Finding the Fourth Proportional to 3,642.35, 5,469.60 and 2,415.20

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Solution

The fourth proportional to 3,642.35, 5,469.60 and 2,415.20 is: 3,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.35 : 5,469.60 = 2,415.20 : x
  2. Step 2: Convert to fraction form
    3,642.35/5,469.60 = 2,415.20/x
  3. Step 3: Cross multiply
    3,642.35x = 5,469.60 × 2,415.20
  4. Step 4: Simplify right side
    3,642.35x = 13,210,177.92
  5. Step 5: Solve for x
    x = 13,210,177.92/3,642.35
  6. Step 6: Final answer
    x = 3,626.83

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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.