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Finding the Fourth Proportional to 3,139.72, 4,707.72 and 1,192.06

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Solution

The fourth proportional to 3,139.72, 4,707.72 and 1,192.06 is: 1,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.72 : 4,707.72 = 1,192.06 : x
  2. Step 2: Convert to fraction form
    3,139.72/4,707.72 = 1,192.06/x
  3. Step 3: Cross multiply
    3,139.72x = 4,707.72 × 1,192.06
  4. Step 4: Simplify right side
    3,139.72x = 5,611,884.70
  5. Step 5: Solve for x
    x = 5,611,884.70/3,139.72
  6. Step 6: Final answer
    x = 1,787.38

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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.