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Finding the Fourth Proportional to 4,894.83, 6,754.82 and 2,656.71

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Solution

The fourth proportional to 4,894.83, 6,754.82 and 2,656.71 is: 3,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.83 : 6,754.82 = 2,656.71 : x
  2. Step 2: Convert to fraction form
    4,894.83/6,754.82 = 2,656.71/x
  3. Step 3: Cross multiply
    4,894.83x = 6,754.82 × 2,656.71
  4. Step 4: Simplify right side
    4,894.83x = 17,945,584.56
  5. Step 5: Solve for x
    x = 17,945,584.56/4,894.83
  6. Step 6: Final answer
    x = 3,666.23

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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.