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Finding the Fourth Proportional to 5,202.72, 7,765.98 and 4,514.16

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Solution

The fourth proportional to 5,202.72, 7,765.98 and 4,514.16 is: 6,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.72 : 7,765.98 = 4,514.16 : x
  2. Step 2: Convert to fraction form
    5,202.72/7,765.98 = 4,514.16/x
  3. Step 3: Cross multiply
    5,202.72x = 7,765.98 × 4,514.16
  4. Step 4: Simplify right side
    5,202.72x = 35,056,876.28
  5. Step 5: Solve for x
    x = 35,056,876.28/5,202.72
  6. Step 6: Final answer
    x = 6,738.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.