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Finding the Fourth Proportional to 4,147.37, 5,723.30 and 2,284.37

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Solution

The fourth proportional to 4,147.37, 5,723.30 and 2,284.37 is: 3,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.37 : 5,723.30 = 2,284.37 : x
  2. Step 2: Convert to fraction form
    4,147.37/5,723.30 = 2,284.37/x
  3. Step 3: Cross multiply
    4,147.37x = 5,723.30 × 2,284.37
  4. Step 4: Simplify right side
    4,147.37x = 13,074,106.20
  5. Step 5: Solve for x
    x = 13,074,106.20/4,147.37
  6. Step 6: Final answer
    x = 3,152.39

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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.