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Finding the Fourth Proportional to 4,122.67, 5,689.20 and 2,945.74

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Solution

The fourth proportional to 4,122.67, 5,689.20 and 2,945.74 is: 4,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.67 : 5,689.20 = 2,945.74 : x
  2. Step 2: Convert to fraction form
    4,122.67/5,689.20 = 2,945.74/x
  3. Step 3: Cross multiply
    4,122.67x = 5,689.20 × 2,945.74
  4. Step 4: Simplify right side
    4,122.67x = 16,758,904.01
  5. Step 5: Solve for x
    x = 16,758,904.01/4,122.67
  6. Step 6: Final answer
    x = 4,065.06

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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.