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Finding the Fourth Proportional to 3,894.76, 5,374.02 and 2,322.28

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Solution

The fourth proportional to 3,894.76, 5,374.02 and 2,322.28 is: 3,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.76 : 5,374.02 = 2,322.28 : x
  2. Step 2: Convert to fraction form
    3,894.76/5,374.02 = 2,322.28/x
  3. Step 3: Cross multiply
    3,894.76x = 5,374.02 × 2,322.28
  4. Step 4: Simplify right side
    3,894.76x = 12,479,979.17
  5. Step 5: Solve for x
    x = 12,479,979.17/3,894.76
  6. Step 6: Final answer
    x = 3,204.30

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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.