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Finding the Fourth Proportional to 4,893.74, 6,753.30 and 2,769.69

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Solution

The fourth proportional to 4,893.74, 6,753.30 and 2,769.69 is: 3,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.74 : 6,753.30 = 2,769.69 : x
  2. Step 2: Convert to fraction form
    4,893.74/6,753.30 = 2,769.69/x
  3. Step 3: Cross multiply
    4,893.74x = 6,753.30 × 2,769.69
  4. Step 4: Simplify right side
    4,893.74x = 18,704,547.48
  5. Step 5: Solve for x
    x = 18,704,547.48/4,893.74
  6. Step 6: Final answer
    x = 3,822.14

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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.