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Finding the Fourth Proportional to 5,180.42, 7,773.86 and 2,102.42

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Solution

The fourth proportional to 5,180.42, 7,773.86 and 2,102.42 is: 3,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.42 : 7,773.86 = 2,102.42 : x
  2. Step 2: Convert to fraction form
    5,180.42/7,773.86 = 2,102.42/x
  3. Step 3: Cross multiply
    5,180.42x = 7,773.86 × 2,102.42
  4. Step 4: Simplify right side
    5,180.42x = 16,343,885.13
  5. Step 5: Solve for x
    x = 16,343,885.13/5,180.42
  6. Step 6: Final answer
    x = 3,154.94

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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.