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Finding the Fourth Proportional to 3,984, 5,497.92 and 2,328

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Solution

The fourth proportional to 3,984, 5,497.92 and 2,328 is: 3,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 5,497.92 = 2,328 : x
  2. Step 2: Convert to fraction form
    3,984/5,497.92 = 2,328/x
  3. Step 3: Cross multiply
    3,984x = 5,497.92 × 2,328
  4. Step 4: Simplify right side
    3,984x = 12,799,157.76
  5. Step 5: Solve for x
    x = 12,799,157.76/3,984
  6. Step 6: Final answer
    x = 3,212.64

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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.