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Finding the Fourth Proportional to 5,971, 8,956.54 and 1,867

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Solution

The fourth proportional to 5,971, 8,956.54 and 1,867 is: 2,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971 : 8,956.54 = 1,867 : x
  2. Step 2: Convert to fraction form
    5,971/8,956.54 = 1,867/x
  3. Step 3: Cross multiply
    5,971x = 8,956.54 × 1,867
  4. Step 4: Simplify right side
    5,971x = 16,721,860.18
  5. Step 5: Solve for x
    x = 16,721,860.18/5,971
  6. Step 6: Final answer
    x = 2,800.51

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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.