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Finding the Fourth Proportional to 4,912, 6,778.56 and 2,704

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Solution

The fourth proportional to 4,912, 6,778.56 and 2,704 is: 3,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912 : 6,778.56 = 2,704 : x
  2. Step 2: Convert to fraction form
    4,912/6,778.56 = 2,704/x
  3. Step 3: Cross multiply
    4,912x = 6,778.56 × 2,704
  4. Step 4: Simplify right side
    4,912x = 18,329,226.24
  5. Step 5: Solve for x
    x = 18,329,226.24/4,912
  6. Step 6: Final answer
    x = 3,731.52

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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.