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Finding the Fourth Proportional to 3,222.42, 4,833.59 and 913.92

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Solution

The fourth proportional to 3,222.42, 4,833.59 and 913.92 is: 1,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.42 : 4,833.59 = 913.92 : x
  2. Step 2: Convert to fraction form
    3,222.42/4,833.59 = 913.92/x
  3. Step 3: Cross multiply
    3,222.42x = 4,833.59 × 913.92
  4. Step 4: Simplify right side
    3,222.42x = 4,417,514.57
  5. Step 5: Solve for x
    x = 4,417,514.57/3,222.42
  6. Step 6: Final answer
    x = 1,370.87

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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.