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Finding the Fourth Proportional to 3,100.81, 4,647.11 and 2,275.21

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Solution

The fourth proportional to 3,100.81, 4,647.11 and 2,275.21 is: 3,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.81 : 4,647.11 = 2,275.21 : x
  2. Step 2: Convert to fraction form
    3,100.81/4,647.11 = 2,275.21/x
  3. Step 3: Cross multiply
    3,100.81x = 4,647.11 × 2,275.21
  4. Step 4: Simplify right side
    3,100.81x = 10,573,151.14
  5. Step 5: Solve for x
    x = 10,573,151.14/3,100.81
  6. Step 6: Final answer
    x = 3,409.80

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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.