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Finding the Fourth Proportional to 4,062.72, 5,606.45 and 2,270.22

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Solution

The fourth proportional to 4,062.72, 5,606.45 and 2,270.22 is: 3,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.72 : 5,606.45 = 2,270.22 : x
  2. Step 2: Convert to fraction form
    4,062.72/5,606.45 = 2,270.22/x
  3. Step 3: Cross multiply
    4,062.72x = 5,606.45 × 2,270.22
  4. Step 4: Simplify right side
    4,062.72x = 12,727,854.25
  5. Step 5: Solve for x
    x = 12,727,854.25/4,062.72
  6. Step 6: Final answer
    x = 3,132.84

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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.