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Finding the Fourth Proportional to 5,426.76, 7,488.96 and 2,942.76

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Solution

The fourth proportional to 5,426.76, 7,488.96 and 2,942.76 is: 4,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.76 : 7,488.96 = 2,942.76 : x
  2. Step 2: Convert to fraction form
    5,426.76/7,488.96 = 2,942.76/x
  3. Step 3: Cross multiply
    5,426.76x = 7,488.96 × 2,942.76
  4. Step 4: Simplify right side
    5,426.76x = 22,038,211.93
  5. Step 5: Solve for x
    x = 22,038,211.93/5,426.76
  6. Step 6: Final answer
    x = 4,061.03

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1.5x scale

Why These Related Problems?

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