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Finding the Fourth Proportional to 5,122.06, 7,663.65 and 3,169.42

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Solution

The fourth proportional to 5,122.06, 7,663.65 and 3,169.42 is: 4,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.06 : 7,663.65 = 3,169.42 : x
  2. Step 2: Convert to fraction form
    5,122.06/7,663.65 = 3,169.42/x
  3. Step 3: Cross multiply
    5,122.06x = 7,663.65 × 3,169.42
  4. Step 4: Simplify right side
    5,122.06x = 24,289,325.58
  5. Step 5: Solve for x
    x = 24,289,325.58/5,122.06
  6. Step 6: Final answer
    x = 4,742.10

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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.