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Finding the Fourth Proportional to 5,426.63, 7,488.75 and 2,942.63

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Solution

The fourth proportional to 5,426.63, 7,488.75 and 2,942.63 is: 4,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.63 : 7,488.75 = 2,942.63 : x
  2. Step 2: Convert to fraction form
    5,426.63/7,488.75 = 2,942.63/x
  3. Step 3: Cross multiply
    5,426.63x = 7,488.75 × 2,942.63
  4. Step 4: Simplify right side
    5,426.63x = 22,036,582.97
  5. Step 5: Solve for x
    x = 22,036,582.97/5,426.63
  6. Step 6: Final answer
    x = 4,060.83

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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.