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Finding the Fourth Proportional to 3,907.44, 5,391.36 and 2,509.92

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Solution

The fourth proportional to 3,907.44, 5,391.36 and 2,509.92 is: 3,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.44 : 5,391.36 = 2,509.92 : x
  2. Step 2: Convert to fraction form
    3,907.44/5,391.36 = 2,509.92/x
  3. Step 3: Cross multiply
    3,907.44x = 5,391.36 × 2,509.92
  4. Step 4: Simplify right side
    3,907.44x = 13,531,882.29
  5. Step 5: Solve for x
    x = 13,531,882.29/3,907.44
  6. Step 6: Final answer
    x = 3,463.11

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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.