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Finding the Fourth Proportional to 3,475.45, 4,796.16 and 1,983.57

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Solution

The fourth proportional to 3,475.45, 4,796.16 and 1,983.57 is: 2,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.45 : 4,796.16 = 1,983.57 : x
  2. Step 2: Convert to fraction form
    3,475.45/4,796.16 = 1,983.57/x
  3. Step 3: Cross multiply
    3,475.45x = 4,796.16 × 1,983.57
  4. Step 4: Simplify right side
    3,475.45x = 9,513,519.09
  5. Step 5: Solve for x
    x = 9,513,519.09/3,475.45
  6. Step 6: Final answer
    x = 2,737.35

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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.