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Finding the Fourth Proportional to 5,426.06, 7,487.85 and 2,942.06

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Solution

The fourth proportional to 5,426.06, 7,487.85 and 2,942.06 is: 4,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.06 : 7,487.85 = 2,942.06 : x
  2. Step 2: Convert to fraction form
    5,426.06/7,487.85 = 2,942.06/x
  3. Step 3: Cross multiply
    5,426.06x = 7,487.85 × 2,942.06
  4. Step 4: Simplify right side
    5,426.06x = 22,029,703.97
  5. Step 5: Solve for x
    x = 22,029,703.97/5,426.06
  6. Step 6: Final answer
    x = 4,059.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.