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Finding the Fourth Proportional to 4,894.79, 7,335.28 and 3,794

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Solution

The fourth proportional to 4,894.79, 7,335.28 and 3,794 is: 5,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.79 : 7,335.28 = 3,794 : x
  2. Step 2: Convert to fraction form
    4,894.79/7,335.28 = 3,794/x
  3. Step 3: Cross multiply
    4,894.79x = 7,335.28 × 3,794
  4. Step 4: Simplify right side
    4,894.79x = 27,830,052.32
  5. Step 5: Solve for x
    x = 27,830,052.32/4,894.79
  6. Step 6: Final answer
    x = 5,685.65

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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.