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Finding the Fourth Proportional to 5,052.90, 6,972.90 and 2,814.77

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Solution

The fourth proportional to 5,052.90, 6,972.90 and 2,814.77 is: 3,884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.90 : 6,972.90 = 2,814.77 : x
  2. Step 2: Convert to fraction form
    5,052.90/6,972.90 = 2,814.77/x
  3. Step 3: Cross multiply
    5,052.90x = 6,972.90 × 2,814.77
  4. Step 4: Simplify right side
    5,052.90x = 19,627,109.73
  5. Step 5: Solve for x
    x = 19,627,109.73/5,052.90
  6. Step 6: Final answer
    x = 3,884.33

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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.