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Finding the Fourth Proportional to 3,971.61, 5,480.43 and 2,293.56

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Solution

The fourth proportional to 3,971.61, 5,480.43 and 2,293.56 is: 3,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.61 : 5,480.43 = 2,293.56 : x
  2. Step 2: Convert to fraction form
    3,971.61/5,480.43 = 2,293.56/x
  3. Step 3: Cross multiply
    3,971.61x = 5,480.43 × 2,293.56
  4. Step 4: Simplify right side
    3,971.61x = 12,569,695.03
  5. Step 5: Solve for x
    x = 12,569,695.03/3,971.61
  6. Step 6: Final answer
    x = 3,164.89

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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.