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Finding the Fourth Proportional to 3,983.50, 5,975.57 and 1,210.42

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Solution

The fourth proportional to 3,983.50, 5,975.57 and 1,210.42 is: 1,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.50 : 5,975.57 = 1,210.42 : x
  2. Step 2: Convert to fraction form
    3,983.50/5,975.57 = 1,210.42/x
  3. Step 3: Cross multiply
    3,983.50x = 5,975.57 × 1,210.42
  4. Step 4: Simplify right side
    3,983.50x = 7,232,943.13
  5. Step 5: Solve for x
    x = 7,232,943.13/3,983.50
  6. Step 6: Final answer
    x = 1,815.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.