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Finding the Fourth Proportional to 4,843.12, 7,265.32 and 1,380.46

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Solution

The fourth proportional to 4,843.12, 7,265.32 and 1,380.46 is: 2,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.12 : 7,265.32 = 1,380.46 : x
  2. Step 2: Convert to fraction form
    4,843.12/7,265.32 = 1,380.46/x
  3. Step 3: Cross multiply
    4,843.12x = 7,265.32 × 1,380.46
  4. Step 4: Simplify right side
    4,843.12x = 10,029,483.65
  5. Step 5: Solve for x
    x = 10,029,483.65/4,843.12
  6. Step 6: Final answer
    x = 2,070.87

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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.