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Finding the Fourth Proportional to 3,874.70, 5,814.44 and 1,534.31

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Solution

The fourth proportional to 3,874.70, 5,814.44 and 1,534.31 is: 2,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.70 : 5,814.44 = 1,534.31 : x
  2. Step 2: Convert to fraction form
    3,874.70/5,814.44 = 1,534.31/x
  3. Step 3: Cross multiply
    3,874.70x = 5,814.44 × 1,534.31
  4. Step 4: Simplify right side
    3,874.70x = 8,921,116.69
  5. Step 5: Solve for x
    x = 8,921,116.69/3,874.70
  6. Step 6: Final answer
    x = 2,302.40

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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.