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Finding the Fourth Proportional to 5,197.92, 7,169.40 and 5,026.56

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Solution

The fourth proportional to 5,197.92, 7,169.40 and 5,026.56 is: 6,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.92 : 7,169.40 = 5,026.56 : x
  2. Step 2: Convert to fraction form
    5,197.92/7,169.40 = 5,026.56/x
  3. Step 3: Cross multiply
    5,197.92x = 7,169.40 × 5,026.56
  4. Step 4: Simplify right side
    5,197.92x = 36,037,419.26
  5. Step 5: Solve for x
    x = 36,037,419.26/5,197.92
  6. Step 6: Final answer
    x = 6,933.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.