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Finding the Fourth Proportional to 5,403.42, 8,105.13 and 1,299.42

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Solution

The fourth proportional to 5,403.42, 8,105.13 and 1,299.42 is: 1,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.42 : 8,105.13 = 1,299.42 : x
  2. Step 2: Convert to fraction form
    5,403.42/8,105.13 = 1,299.42/x
  3. Step 3: Cross multiply
    5,403.42x = 8,105.13 × 1,299.42
  4. Step 4: Simplify right side
    5,403.42x = 10,531,968.02
  5. Step 5: Solve for x
    x = 10,531,968.02/5,403.42
  6. Step 6: Final answer
    x = 1,949.13

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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.