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Finding the Fourth Proportional to 3,510.66, 4,843.22 and 2,184.78

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Solution

The fourth proportional to 3,510.66, 4,843.22 and 2,184.78 is: 3,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.66 : 4,843.22 = 2,184.78 : x
  2. Step 2: Convert to fraction form
    3,510.66/4,843.22 = 2,184.78/x
  3. Step 3: Cross multiply
    3,510.66x = 4,843.22 × 2,184.78
  4. Step 4: Simplify right side
    3,510.66x = 10,581,370.19
  5. Step 5: Solve for x
    x = 10,581,370.19/3,510.66
  6. Step 6: Final answer
    x = 3,014.07

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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.