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Finding the Fourth Proportional to 3,405.96, 4,697.46 and 2,079.18

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Solution

The fourth proportional to 3,405.96, 4,697.46 and 2,079.18 is: 2,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.96 : 4,697.46 = 2,079.18 : x
  2. Step 2: Convert to fraction form
    3,405.96/4,697.46 = 2,079.18/x
  3. Step 3: Cross multiply
    3,405.96x = 4,697.46 × 2,079.18
  4. Step 4: Simplify right side
    3,405.96x = 9,766,864.88
  5. Step 5: Solve for x
    x = 9,766,864.88/3,405.96
  6. Step 6: Final answer
    x = 2,867.58

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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.