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Finding the Fourth Proportional to 3,477.18, 4,797.31 and 1,984.02

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Solution

The fourth proportional to 3,477.18, 4,797.31 and 1,984.02 is: 2,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.18 : 4,797.31 = 1,984.02 : x
  2. Step 2: Convert to fraction form
    3,477.18/4,797.31 = 1,984.02/x
  3. Step 3: Cross multiply
    3,477.18x = 4,797.31 × 1,984.02
  4. Step 4: Simplify right side
    3,477.18x = 9,517,958.99
  5. Step 5: Solve for x
    x = 9,517,958.99/3,477.18
  6. Step 6: Final answer
    x = 2,737.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.