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Finding the Fourth Proportional to 4,894.12, 6,753.54 and 2,770

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Solution

The fourth proportional to 4,894.12, 6,753.54 and 2,770 is: 3,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.12 : 6,753.54 = 2,770 : x
  2. Step 2: Convert to fraction form
    4,894.12/6,753.54 = 2,770/x
  3. Step 3: Cross multiply
    4,894.12x = 6,753.54 × 2,770
  4. Step 4: Simplify right side
    4,894.12x = 18,707,305.80
  5. Step 5: Solve for x
    x = 18,707,305.80/4,894.12
  6. Step 6: Final answer
    x = 3,822.40

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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.