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Finding the Fourth Proportional to 4,155.67, 5,726.91 and 2,974.69

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Solution

The fourth proportional to 4,155.67, 5,726.91 and 2,974.69 is: 4,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.67 : 5,726.91 = 2,974.69 : x
  2. Step 2: Convert to fraction form
    4,155.67/5,726.91 = 2,974.69/x
  3. Step 3: Cross multiply
    4,155.67x = 5,726.91 × 2,974.69
  4. Step 4: Simplify right side
    4,155.67x = 17,035,781.91
  5. Step 5: Solve for x
    x = 17,035,781.91/4,155.67
  6. Step 6: Final answer
    x = 4,099.41

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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.