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Finding the Fourth Proportional to 5,283.82, 7,924.02 and 2,364.22

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Solution

The fourth proportional to 5,283.82, 7,924.02 and 2,364.22 is: 3,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.82 : 7,924.02 = 2,364.22 : x
  2. Step 2: Convert to fraction form
    5,283.82/7,924.02 = 2,364.22/x
  3. Step 3: Cross multiply
    5,283.82x = 7,924.02 × 2,364.22
  4. Step 4: Simplify right side
    5,283.82x = 18,734,126.56
  5. Step 5: Solve for x
    x = 18,734,126.56/5,283.82
  6. Step 6: Final answer
    x = 3,545.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.