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Finding the Fourth Proportional to 5,426.13, 7,488.06 and 2,942.13

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Solution

The fourth proportional to 5,426.13, 7,488.06 and 2,942.13 is: 4,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.13 : 7,488.06 = 2,942.13 : x
  2. Step 2: Convert to fraction form
    5,426.13/7,488.06 = 2,942.13/x
  3. Step 3: Cross multiply
    5,426.13x = 7,488.06 × 2,942.13
  4. Step 4: Simplify right side
    5,426.13x = 22,030,845.97
  5. Step 5: Solve for x
    x = 22,030,845.97/5,426.13
  6. Step 6: Final answer
    x = 4,060.14

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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.