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Finding the Fourth Proportional to 4,183.94, 5,772.54 and 2,415.32

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Solution

The fourth proportional to 4,183.94, 5,772.54 and 2,415.32 is: 3,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.94 : 5,772.54 = 2,415.32 : x
  2. Step 2: Convert to fraction form
    4,183.94/5,772.54 = 2,415.32/x
  3. Step 3: Cross multiply
    4,183.94x = 5,772.54 × 2,415.32
  4. Step 4: Simplify right side
    4,183.94x = 13,942,531.31
  5. Step 5: Solve for x
    x = 13,942,531.31/4,183.94
  6. Step 6: Final answer
    x = 3,332.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.