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Finding the Fourth Proportional to 3,971.50, 5,957.52 and 1,505.86

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Solution

The fourth proportional to 3,971.50, 5,957.52 and 1,505.86 is: 2,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.50 : 5,957.52 = 1,505.86 : x
  2. Step 2: Convert to fraction form
    3,971.50/5,957.52 = 1,505.86/x
  3. Step 3: Cross multiply
    3,971.50x = 5,957.52 × 1,505.86
  4. Step 4: Simplify right side
    3,971.50x = 8,971,191.07
  5. Step 5: Solve for x
    x = 8,971,191.07/3,971.50
  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.