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Finding the Fourth Proportional to 3,146.14, 4,713.04 and 1,827.13

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Solution

The fourth proportional to 3,146.14, 4,713.04 and 1,827.13 is: 2,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.14 : 4,713.04 = 1,827.13 : x
  2. Step 2: Convert to fraction form
    3,146.14/4,713.04 = 1,827.13/x
  3. Step 3: Cross multiply
    3,146.14x = 4,713.04 × 1,827.13
  4. Step 4: Simplify right side
    3,146.14x = 8,611,336.78
  5. Step 5: Solve for x
    x = 8,611,336.78/3,146.14
  6. Step 6: Final answer
    x = 2,737.11

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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.