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Finding the Fourth Proportional to 5,442.67, 8,167.65 and 1,979.92

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Solution

The fourth proportional to 5,442.67, 8,167.65 and 1,979.92 is: 2,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.67 : 8,167.65 = 1,979.92 : x
  2. Step 2: Convert to fraction form
    5,442.67/8,167.65 = 1,979.92/x
  3. Step 3: Cross multiply
    5,442.67x = 8,167.65 × 1,979.92
  4. Step 4: Simplify right side
    5,442.67x = 16,171,303.80
  5. Step 5: Solve for x
    x = 16,171,303.80/5,442.67
  6. Step 6: Final answer
    x = 2,971.21

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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.