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Finding the Fourth Proportional to 3,146.93, 4,705.41 and 2,871.53

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Solution

The fourth proportional to 3,146.93, 4,705.41 and 2,871.53 is: 4,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.93 : 4,705.41 = 2,871.53 : x
  2. Step 2: Convert to fraction form
    3,146.93/4,705.41 = 2,871.53/x
  3. Step 3: Cross multiply
    3,146.93x = 4,705.41 × 2,871.53
  4. Step 4: Simplify right side
    3,146.93x = 13,511,725.98
  5. Step 5: Solve for x
    x = 13,511,725.98/3,146.93
  6. Step 6: Final answer
    x = 4,293.62

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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.