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Finding the Fourth Proportional to 5,246.40, 7,872.96 and 3,166.08

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Solution

The fourth proportional to 5,246.40, 7,872.96 and 3,166.08 is: 4,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.40 : 7,872.96 = 3,166.08 : x
  2. Step 2: Convert to fraction form
    5,246.40/7,872.96 = 3,166.08/x
  3. Step 3: Cross multiply
    5,246.40x = 7,872.96 × 3,166.08
  4. Step 4: Simplify right side
    5,246.40x = 24,926,421.20
  5. Step 5: Solve for x
    x = 24,926,421.20/5,246.40
  6. Step 6: Final answer
    x = 4,751.15

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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.