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Finding the Fourth Proportional to 5,700.94, 8,544.39 and 4,048.54

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Solution

The fourth proportional to 5,700.94, 8,544.39 and 4,048.54 is: 6,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.94 : 8,544.39 = 4,048.54 : x
  2. Step 2: Convert to fraction form
    5,700.94/8,544.39 = 4,048.54/x
  3. Step 3: Cross multiply
    5,700.94x = 8,544.39 × 4,048.54
  4. Step 4: Simplify right side
    5,700.94x = 34,592,268.15
  5. Step 5: Solve for x
    x = 34,592,268.15/5,700.94
  6. Step 6: Final answer
    x = 6,067.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.