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Finding the Fourth Proportional to 3,927.86, 5,889.88 and 2,284.98

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Solution

The fourth proportional to 3,927.86, 5,889.88 and 2,284.98 is: 3,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.86 : 5,889.88 = 2,284.98 : x
  2. Step 2: Convert to fraction form
    3,927.86/5,889.88 = 2,284.98/x
  3. Step 3: Cross multiply
    3,927.86x = 5,889.88 × 2,284.98
  4. Step 4: Simplify right side
    3,927.86x = 13,458,258.00
  5. Step 5: Solve for x
    x = 13,458,258.00/3,927.86
  6. Step 6: Final answer
    x = 3,426.36

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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.