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Finding the Fourth Proportional to 5,538.90, 8,288.10 and 4,080.90

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Solution

The fourth proportional to 5,538.90, 8,288.10 and 4,080.90 is: 6,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.90 : 8,288.10 = 4,080.90 : x
  2. Step 2: Convert to fraction form
    5,538.90/8,288.10 = 4,080.90/x
  3. Step 3: Cross multiply
    5,538.90x = 8,288.10 × 4,080.90
  4. Step 4: Simplify right side
    5,538.90x = 33,822,907.29
  5. Step 5: Solve for x
    x = 33,822,907.29/5,538.90
  6. Step 6: Final answer
    x = 6,106.43

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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.