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Finding the Fourth Proportional to 5,426.64, 7,488.81 and 2,942.64

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Solution

The fourth proportional to 5,426.64, 7,488.81 and 2,942.64 is: 4,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.64 : 7,488.81 = 2,942.64 : x
  2. Step 2: Convert to fraction form
    5,426.64/7,488.81 = 2,942.64/x
  3. Step 3: Cross multiply
    5,426.64x = 7,488.81 × 2,942.64
  4. Step 4: Simplify right side
    5,426.64x = 22,036,871.86
  5. Step 5: Solve for x
    x = 22,036,871.86/5,426.64
  6. Step 6: Final answer
    x = 4,060.87

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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.