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Finding the Fourth Proportional to 4,894.84, 6,754.56 and 2,798.96

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Solution

The fourth proportional to 4,894.84, 6,754.56 and 2,798.96 is: 3,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.84 : 6,754.56 = 2,798.96 : x
  2. Step 2: Convert to fraction form
    4,894.84/6,754.56 = 2,798.96/x
  3. Step 3: Cross multiply
    4,894.84x = 6,754.56 × 2,798.96
  4. Step 4: Simplify right side
    4,894.84x = 18,905,743.26
  5. Step 5: Solve for x
    x = 18,905,743.26/4,894.84
  6. Step 6: Final answer
    x = 3,862.38

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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.