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Finding the Fourth Proportional to 4,562.10, 6,843.15 and 3,314.70

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Solution

The fourth proportional to 4,562.10, 6,843.15 and 3,314.70 is: 4,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.10 : 6,843.15 = 3,314.70 : x
  2. Step 2: Convert to fraction form
    4,562.10/6,843.15 = 3,314.70/x
  3. Step 3: Cross multiply
    4,562.10x = 6,843.15 × 3,314.70
  4. Step 4: Simplify right side
    4,562.10x = 22,682,989.31
  5. Step 5: Solve for x
    x = 22,682,989.31/4,562.10
  6. Step 6: Final answer
    x = 4,972.05

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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.