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Finding the Fourth Proportional to 5,240.86, 7,226.46 and 4,043.14

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Solution

The fourth proportional to 5,240.86, 7,226.46 and 4,043.14 is: 5,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.86 : 7,226.46 = 4,043.14 : x
  2. Step 2: Convert to fraction form
    5,240.86/7,226.46 = 4,043.14/x
  3. Step 3: Cross multiply
    5,240.86x = 7,226.46 × 4,043.14
  4. Step 4: Simplify right side
    5,240.86x = 29,217,589.48
  5. Step 5: Solve for x
    x = 29,217,589.48/5,240.86
  6. Step 6: Final answer
    x = 5,574.96

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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.