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Finding the Fourth Proportional to 3,387.96, 5,084.64 and 3,023.46

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Solution

The fourth proportional to 3,387.96, 5,084.64 and 3,023.46 is: 4,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.96 : 5,084.64 = 3,023.46 : x
  2. Step 2: Convert to fraction form
    3,387.96/5,084.64 = 3,023.46/x
  3. Step 3: Cross multiply
    3,387.96x = 5,084.64 × 3,023.46
  4. Step 4: Simplify right side
    3,387.96x = 15,373,205.65
  5. Step 5: Solve for x
    x = 15,373,205.65/3,387.96
  6. Step 6: Final answer
    x = 4,537.60

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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.