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Finding the Fourth Proportional to 4,468.92, 6,145.24 and 3,878.43

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Solution

The fourth proportional to 4,468.92, 6,145.24 and 3,878.43 is: 5,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.92 : 6,145.24 = 3,878.43 : x
  2. Step 2: Convert to fraction form
    4,468.92/6,145.24 = 3,878.43/x
  3. Step 3: Cross multiply
    4,468.92x = 6,145.24 × 3,878.43
  4. Step 4: Simplify right side
    4,468.92x = 23,833,903.18
  5. Step 5: Solve for x
    x = 23,833,903.18/4,468.92
  6. Step 6: Final answer
    x = 5,333.26

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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.