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Finding the Fourth Proportional to 4,204.79, 5,760.59 and 4,047.15

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Solution

The fourth proportional to 4,204.79, 5,760.59 and 4,047.15 is: 5,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.79 : 5,760.59 = 4,047.15 : x
  2. Step 2: Convert to fraction form
    4,204.79/5,760.59 = 4,047.15/x
  3. Step 3: Cross multiply
    4,204.79x = 5,760.59 × 4,047.15
  4. Step 4: Simplify right side
    4,204.79x = 23,313,943.02
  5. Step 5: Solve for x
    x = 23,313,943.02/4,204.79
  6. Step 6: Final answer
    x = 5,544.62

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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.