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Finding the Fourth Proportional to 5,016.78, 7,527 and 3,261.66

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Solution

The fourth proportional to 5,016.78, 7,527 and 3,261.66 is: 4,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,016.78 : 7,527 = 3,261.66 : x
  2. Step 2: Convert to fraction form
    5,016.78/7,527 = 3,261.66/x
  3. Step 3: Cross multiply
    5,016.78x = 7,527 × 3,261.66
  4. Step 4: Simplify right side
    5,016.78x = 24,550,514.82
  5. Step 5: Solve for x
    x = 24,550,514.82/5,016.78
  6. Step 6: Final answer
    x = 4,893.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.