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Finding the Fourth Proportional to 4,894.78, 6,754.68 and 2,656.56

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Solution

The fourth proportional to 4,894.78, 6,754.68 and 2,656.56 is: 3,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.78 : 6,754.68 = 2,656.56 : x
  2. Step 2: Convert to fraction form
    4,894.78/6,754.68 = 2,656.56/x
  3. Step 3: Cross multiply
    4,894.78x = 6,754.68 × 2,656.56
  4. Step 4: Simplify right side
    4,894.78x = 17,944,212.70
  5. Step 5: Solve for x
    x = 17,944,212.70/4,894.78
  6. Step 6: Final answer
    x = 3,665.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.