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Finding the Fourth Proportional to 3,907.20, 5,832.56 and 3,323.84

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Solution

The fourth proportional to 3,907.20, 5,832.56 and 3,323.84 is: 4,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.20 : 5,832.56 = 3,323.84 : x
  2. Step 2: Convert to fraction form
    3,907.20/5,832.56 = 3,323.84/x
  3. Step 3: Cross multiply
    3,907.20x = 5,832.56 × 3,323.84
  4. Step 4: Simplify right side
    3,907.20x = 19,386,496.23
  5. Step 5: Solve for x
    x = 19,386,496.23/3,907.20
  6. Step 6: Final answer
    x = 4,961.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.