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Finding the Fourth Proportional to 5,246.74, 7,862.19 and 3,164.43

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Solution

The fourth proportional to 5,246.74, 7,862.19 and 3,164.43 is: 4,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.74 : 7,862.19 = 3,164.43 : x
  2. Step 2: Convert to fraction form
    5,246.74/7,862.19 = 3,164.43/x
  3. Step 3: Cross multiply
    5,246.74x = 7,862.19 × 3,164.43
  4. Step 4: Simplify right side
    5,246.74x = 24,879,349.90
  5. Step 5: Solve for x
    x = 24,879,349.90/5,246.74
  6. Step 6: Final answer
    x = 4,741.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.