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Finding the Fourth Proportional to 5,916.27, 8,874.62 and 1,967.88

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Solution

The fourth proportional to 5,916.27, 8,874.62 and 1,967.88 is: 2,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.27 : 8,874.62 = 1,967.88 : x
  2. Step 2: Convert to fraction form
    5,916.27/8,874.62 = 1,967.88/x
  3. Step 3: Cross multiply
    5,916.27x = 8,874.62 × 1,967.88
  4. Step 4: Simplify right side
    5,916.27x = 17,464,187.21
  5. Step 5: Solve for x
    x = 17,464,187.21/5,916.27
  6. Step 6: Final answer
    x = 2,951.89

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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.