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Finding the Fourth Proportional to 3,238.64, 4,848.64 and 2,002.32

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Solution

The fourth proportional to 3,238.64, 4,848.64 and 2,002.32 is: 2,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.64 : 4,848.64 = 2,002.32 : x
  2. Step 2: Convert to fraction form
    3,238.64/4,848.64 = 2,002.32/x
  3. Step 3: Cross multiply
    3,238.64x = 4,848.64 × 2,002.32
  4. Step 4: Simplify right side
    3,238.64x = 9,708,528.84
  5. Step 5: Solve for x
    x = 9,708,528.84/3,238.64
  6. Step 6: Final answer
    x = 2,997.72

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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.