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Finding the Fourth Proportional to 3,907.37, 5,846.48 and 2,264.69

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Solution

The fourth proportional to 3,907.37, 5,846.48 and 2,264.69 is: 3,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.37 : 5,846.48 = 2,264.69 : x
  2. Step 2: Convert to fraction form
    3,907.37/5,846.48 = 2,264.69/x
  3. Step 3: Cross multiply
    3,907.37x = 5,846.48 × 2,264.69
  4. Step 4: Simplify right side
    3,907.37x = 13,240,453.47
  5. Step 5: Solve for x
    x = 13,240,453.47/3,907.37
  6. Step 6: Final answer
    x = 3,388.58

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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.