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Finding the Fourth Proportional to 5,282.42, 7,286.84 and 3,364.67

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Solution

The fourth proportional to 5,282.42, 7,286.84 and 3,364.67 is: 4,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.42 : 7,286.84 = 3,364.67 : x
  2. Step 2: Convert to fraction form
    5,282.42/7,286.84 = 3,364.67/x
  3. Step 3: Cross multiply
    5,282.42x = 7,286.84 × 3,364.67
  4. Step 4: Simplify right side
    5,282.42x = 24,517,788.71
  5. Step 5: Solve for x
    x = 24,517,788.71/5,282.42
  6. Step 6: Final answer
    x = 4,641.39

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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.