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Finding the Fourth Proportional to 3,907.04, 5,851.08 and 2,149.36

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Solution

The fourth proportional to 3,907.04, 5,851.08 and 2,149.36 is: 3,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.04 : 5,851.08 = 2,149.36 : x
  2. Step 2: Convert to fraction form
    3,907.04/5,851.08 = 2,149.36/x
  3. Step 3: Cross multiply
    3,907.04x = 5,851.08 × 2,149.36
  4. Step 4: Simplify right side
    3,907.04x = 12,576,077.31
  5. Step 5: Solve for x
    x = 12,576,077.31/3,907.04
  6. Step 6: Final answer
    x = 3,218.82

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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.