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Finding the Fourth Proportional to 3,775.26, 5,210.12 and 2,182.20

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Solution

The fourth proportional to 3,775.26, 5,210.12 and 2,182.20 is: 3,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.26 : 5,210.12 = 2,182.20 : x
  2. Step 2: Convert to fraction form
    3,775.26/5,210.12 = 2,182.20/x
  3. Step 3: Cross multiply
    3,775.26x = 5,210.12 × 2,182.20
  4. Step 4: Simplify right side
    3,775.26x = 11,369,523.86
  5. Step 5: Solve for x
    x = 11,369,523.86/3,775.26
  6. Step 6: Final answer
    x = 3,011.59

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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.