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Finding the Fourth Proportional to 6,448.62, 8,896.55 and 4,209.78

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Solution

The fourth proportional to 6,448.62, 8,896.55 and 4,209.78 is: 5,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.62 : 8,896.55 = 4,209.78 : x
  2. Step 2: Convert to fraction form
    6,448.62/8,896.55 = 4,209.78/x
  3. Step 3: Cross multiply
    6,448.62x = 8,896.55 × 4,209.78
  4. Step 4: Simplify right side
    6,448.62x = 37,452,497.21
  5. Step 5: Solve for x
    x = 37,452,497.21/6,448.62
  6. Step 6: Final answer
    x = 5,807.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.