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Finding the Fourth Proportional to 3,652.90, 5,040.25 and 2,160.86

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Solution

The fourth proportional to 3,652.90, 5,040.25 and 2,160.86 is: 2,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.90 : 5,040.25 = 2,160.86 : x
  2. Step 2: Convert to fraction form
    3,652.90/5,040.25 = 2,160.86/x
  3. Step 3: Cross multiply
    3,652.90x = 5,040.25 × 2,160.86
  4. Step 4: Simplify right side
    3,652.90x = 10,891,274.62
  5. Step 5: Solve for x
    x = 10,891,274.62/3,652.90
  6. Step 6: Final answer
    x = 2,981.54

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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.