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Finding the Fourth Proportional to 3,476.32, 4,796.96 and 1,984.08

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Solution

The fourth proportional to 3,476.32, 4,796.96 and 1,984.08 is: 2,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.32 : 4,796.96 = 1,984.08 : x
  2. Step 2: Convert to fraction form
    3,476.32/4,796.96 = 1,984.08/x
  3. Step 3: Cross multiply
    3,476.32x = 4,796.96 × 1,984.08
  4. Step 4: Simplify right side
    3,476.32x = 9,517,552.40
  5. Step 5: Solve for x
    x = 9,517,552.40/3,476.32
  6. Step 6: Final answer
    x = 2,737.82

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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.