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Finding the Fourth Proportional to 5,336.75, 8,005.17 and 1,874

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Solution

The fourth proportional to 5,336.75, 8,005.17 and 1,874 is: 2,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.75 : 8,005.17 = 1,874 : x
  2. Step 2: Convert to fraction form
    5,336.75/8,005.17 = 1,874/x
  3. Step 3: Cross multiply
    5,336.75x = 8,005.17 × 1,874
  4. Step 4: Simplify right side
    5,336.75x = 15,001,688.58
  5. Step 5: Solve for x
    x = 15,001,688.58/5,336.75
  6. Step 6: Final answer
    x = 2,811.02

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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.