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Finding the Fourth Proportional to 3,063.38, 4,595.24 and 871.94

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Solution

The fourth proportional to 3,063.38, 4,595.24 and 871.94 is: 1,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.38 : 4,595.24 = 871.94 : x
  2. Step 2: Convert to fraction form
    3,063.38/4,595.24 = 871.94/x
  3. Step 3: Cross multiply
    3,063.38x = 4,595.24 × 871.94
  4. Step 4: Simplify right side
    3,063.38x = 4,006,773.57
  5. Step 5: Solve for x
    x = 4,006,773.57/3,063.38
  6. Step 6: Final answer
    x = 1,307.96

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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.