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Finding the Fourth Proportional to 5,015.50, 7,524.61 and 1,505.66

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Solution

The fourth proportional to 5,015.50, 7,524.61 and 1,505.66 is: 2,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,015.50 : 7,524.61 = 1,505.66 : x
  2. Step 2: Convert to fraction form
    5,015.50/7,524.61 = 1,505.66/x
  3. Step 3: Cross multiply
    5,015.50x = 7,524.61 × 1,505.66
  4. Step 4: Simplify right side
    5,015.50x = 11,329,462.91
  5. Step 5: Solve for x
    x = 11,329,462.91/5,015.50
  6. Step 6: Final answer
    x = 2,258.89

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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.