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Finding the Fourth Proportional to 5,254.29, 7,870.92 and 3,167.99

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Solution

The fourth proportional to 5,254.29, 7,870.92 and 3,167.99 is: 4,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.29 : 7,870.92 = 3,167.99 : x
  2. Step 2: Convert to fraction form
    5,254.29/7,870.92 = 3,167.99/x
  3. Step 3: Cross multiply
    5,254.29x = 7,870.92 × 3,167.99
  4. Step 4: Simplify right side
    5,254.29x = 24,934,956.50
  5. Step 5: Solve for x
    x = 24,934,956.50/5,254.29
  6. Step 6: Final answer
    x = 4,745.64

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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.