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Finding the Fourth Proportional to 5,461.80, 8,180.55 and 5,340.30

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Solution

The fourth proportional to 5,461.80, 8,180.55 and 5,340.30 is: 7,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.80 : 8,180.55 = 5,340.30 : x
  2. Step 2: Convert to fraction form
    5,461.80/8,180.55 = 5,340.30/x
  3. Step 3: Cross multiply
    5,461.80x = 8,180.55 × 5,340.30
  4. Step 4: Simplify right side
    5,461.80x = 43,686,591.17
  5. Step 5: Solve for x
    x = 43,686,591.17/5,461.80
  6. Step 6: Final answer
    x = 7,998.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.