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Finding the Fourth Proportional to 5,180.32, 7,149.06 and 2,822.59

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Solution

The fourth proportional to 5,180.32, 7,149.06 and 2,822.59 is: 3,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.32 : 7,149.06 = 2,822.59 : x
  2. Step 2: Convert to fraction form
    5,180.32/7,149.06 = 2,822.59/x
  3. Step 3: Cross multiply
    5,180.32x = 7,149.06 × 2,822.59
  4. Step 4: Simplify right side
    5,180.32x = 20,178,815.41
  5. Step 5: Solve for x
    x = 20,178,815.41/5,180.32
  6. Step 6: Final answer
    x = 3,895.29

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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.