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Finding the Fourth Proportional to 4,083.68, 6,126.24 and 1,776.80

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Solution

The fourth proportional to 4,083.68, 6,126.24 and 1,776.80 is: 2,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.68 : 6,126.24 = 1,776.80 : x
  2. Step 2: Convert to fraction form
    4,083.68/6,126.24 = 1,776.80/x
  3. Step 3: Cross multiply
    4,083.68x = 6,126.24 × 1,776.80
  4. Step 4: Simplify right side
    4,083.68x = 10,885,103.23
  5. Step 5: Solve for x
    x = 10,885,103.23/4,083.68
  6. Step 6: Final answer
    x = 2,665.51

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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.