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Finding the Fourth Proportional to 5,052.33, 6,972.03 and 2,814.14

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Solution

The fourth proportional to 5,052.33, 6,972.03 and 2,814.14 is: 3,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.33 : 6,972.03 = 2,814.14 : x
  2. Step 2: Convert to fraction form
    5,052.33/6,972.03 = 2,814.14/x
  3. Step 3: Cross multiply
    5,052.33x = 6,972.03 × 2,814.14
  4. Step 4: Simplify right side
    5,052.33x = 19,620,268.50
  5. Step 5: Solve for x
    x = 19,620,268.50/5,052.33
  6. Step 6: Final answer
    x = 3,883.41

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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.