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Finding the Fourth Proportional to 3,477.06, 4,797.14 and 1,983.89

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Solution

The fourth proportional to 3,477.06, 4,797.14 and 1,983.89 is: 2,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.06 : 4,797.14 = 1,983.89 : x
  2. Step 2: Convert to fraction form
    3,477.06/4,797.14 = 1,983.89/x
  3. Step 3: Cross multiply
    3,477.06x = 4,797.14 × 1,983.89
  4. Step 4: Simplify right side
    3,477.06x = 9,517,000.15
  5. Step 5: Solve for x
    x = 9,517,000.15/3,477.06
  6. Step 6: Final answer
    x = 2,737.08

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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.