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Finding the Fourth Proportional to 4,204.41, 5,760.08 and 4,046.77

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Solution

The fourth proportional to 4,204.41, 5,760.08 and 4,046.77 is: 5,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.41 : 5,760.08 = 4,046.77 : x
  2. Step 2: Convert to fraction form
    4,204.41/5,760.08 = 4,046.77/x
  3. Step 3: Cross multiply
    4,204.41x = 5,760.08 × 4,046.77
  4. Step 4: Simplify right side
    4,204.41x = 23,309,684.31
  5. Step 5: Solve for x
    x = 23,309,684.31/4,204.41
  6. Step 6: Final answer
    x = 5,544.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.