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Finding the Fourth Proportional to 6,104.68, 9,158.56 and 2,820.10

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Solution

The fourth proportional to 6,104.68, 9,158.56 and 2,820.10 is: 4,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.68 : 9,158.56 = 2,820.10 : x
  2. Step 2: Convert to fraction form
    6,104.68/9,158.56 = 2,820.10/x
  3. Step 3: Cross multiply
    6,104.68x = 9,158.56 × 2,820.10
  4. Step 4: Simplify right side
    6,104.68x = 25,828,016.52
  5. Step 5: Solve for x
    x = 25,828,016.52/6,104.68
  6. Step 6: Final answer
    x = 4,230.85

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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.