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Finding the Fourth Proportional to 3,327.64, 4,978.86 and 2,029.96

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Solution

The fourth proportional to 3,327.64, 4,978.86 and 2,029.96 is: 3,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.64 : 4,978.86 = 2,029.96 : x
  2. Step 2: Convert to fraction form
    3,327.64/4,978.86 = 2,029.96/x
  3. Step 3: Cross multiply
    3,327.64x = 4,978.86 × 2,029.96
  4. Step 4: Simplify right side
    3,327.64x = 10,106,886.65
  5. Step 5: Solve for x
    x = 10,106,886.65/3,327.64
  6. Step 6: Final answer
    x = 3,037.25

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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.