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Finding the Fourth Proportional to 5,754.03, 7,938.54 and 3,765.75

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Solution

The fourth proportional to 5,754.03, 7,938.54 and 3,765.75 is: 5,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.03 : 7,938.54 = 3,765.75 : x
  2. Step 2: Convert to fraction form
    5,754.03/7,938.54 = 3,765.75/x
  3. Step 3: Cross multiply
    5,754.03x = 7,938.54 × 3,765.75
  4. Step 4: Simplify right side
    5,754.03x = 29,894,557.01
  5. Step 5: Solve for x
    x = 29,894,557.01/5,754.03
  6. Step 6: Final answer
    x = 5,195.41

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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.