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Finding the Fourth Proportional to 4,117.92, 5,678.92 and 3,644.06

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Solution

The fourth proportional to 4,117.92, 5,678.92 and 3,644.06 is: 5,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.92 : 5,678.92 = 3,644.06 : x
  2. Step 2: Convert to fraction form
    4,117.92/5,678.92 = 3,644.06/x
  3. Step 3: Cross multiply
    4,117.92x = 5,678.92 × 3,644.06
  4. Step 4: Simplify right side
    4,117.92x = 20,694,325.22
  5. Step 5: Solve for x
    x = 20,694,325.22/4,117.92
  6. Step 6: Final answer
    x = 5,025.43

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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.