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Finding the Fourth Proportional to 4,855.28, 7,278.36 and 1,776.56

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Solution

The fourth proportional to 4,855.28, 7,278.36 and 1,776.56 is: 2,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.28 : 7,278.36 = 1,776.56 : x
  2. Step 2: Convert to fraction form
    4,855.28/7,278.36 = 1,776.56/x
  3. Step 3: Cross multiply
    4,855.28x = 7,278.36 × 1,776.56
  4. Step 4: Simplify right side
    4,855.28x = 12,930,443.24
  5. Step 5: Solve for x
    x = 12,930,443.24/4,855.28
  6. Step 6: Final answer
    x = 2,663.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.