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Finding the Fourth Proportional to 3,438.66, 5,151.36 and 2,053.11

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Solution

The fourth proportional to 3,438.66, 5,151.36 and 2,053.11 is: 3,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.66 : 5,151.36 = 2,053.11 : x
  2. Step 2: Convert to fraction form
    3,438.66/5,151.36 = 2,053.11/x
  3. Step 3: Cross multiply
    3,438.66x = 5,151.36 × 2,053.11
  4. Step 4: Simplify right side
    3,438.66x = 10,576,308.73
  5. Step 5: Solve for x
    x = 10,576,308.73/3,438.66
  6. Step 6: Final answer
    x = 3,075.71

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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.