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Finding the Fourth Proportional to 5,052.29, 6,978.69 and 4,351.23

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Solution

The fourth proportional to 5,052.29, 6,978.69 and 4,351.23 is: 6,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.29 : 6,978.69 = 4,351.23 : x
  2. Step 2: Convert to fraction form
    5,052.29/6,978.69 = 4,351.23/x
  3. Step 3: Cross multiply
    5,052.29x = 6,978.69 × 4,351.23
  4. Step 4: Simplify right side
    5,052.29x = 30,365,885.29
  5. Step 5: Solve for x
    x = 30,365,885.29/5,052.29
  6. Step 6: Final answer
    x = 6,010.33

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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.