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Finding the Fourth Proportional to 5,052.34, 6,972.03 and 2,814.13

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Solution

The fourth proportional to 5,052.34, 6,972.03 and 2,814.13 is: 3,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.34 : 6,972.03 = 2,814.13 : x
  2. Step 2: Convert to fraction form
    5,052.34/6,972.03 = 2,814.13/x
  3. Step 3: Cross multiply
    5,052.34x = 6,972.03 × 2,814.13
  4. Step 4: Simplify right side
    5,052.34x = 19,620,198.78
  5. Step 5: Solve for x
    x = 19,620,198.78/5,052.34
  6. Step 6: Final answer
    x = 3,883.39

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1.5x scale

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.