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Finding the Fourth Proportional to 4,222.08, 5,823.13 and 3,939.13

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Solution

The fourth proportional to 4,222.08, 5,823.13 and 3,939.13 is: 5,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.08 : 5,823.13 = 3,939.13 : x
  2. Step 2: Convert to fraction form
    4,222.08/5,823.13 = 3,939.13/x
  3. Step 3: Cross multiply
    4,222.08x = 5,823.13 × 3,939.13
  4. Step 4: Simplify right side
    4,222.08x = 22,938,066.08
  5. Step 5: Solve for x
    x = 22,938,066.08/4,222.08
  6. Step 6: Final answer
    x = 5,432.88

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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.