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Finding the Fourth Proportional to 5,364.36, 7,406.10 and 4,249.80

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Solution

The fourth proportional to 5,364.36, 7,406.10 and 4,249.80 is: 5,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.36 : 7,406.10 = 4,249.80 : x
  2. Step 2: Convert to fraction form
    5,364.36/7,406.10 = 4,249.80/x
  3. Step 3: Cross multiply
    5,364.36x = 7,406.10 × 4,249.80
  4. Step 4: Simplify right side
    5,364.36x = 31,474,443.78
  5. Step 5: Solve for x
    x = 31,474,443.78/5,364.36
  6. Step 6: Final answer
    x = 5,867.33

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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.