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Finding the Fourth Proportional to 3,800.68, 5,701.50 and 1,202.68

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Solution

The fourth proportional to 3,800.68, 5,701.50 and 1,202.68 is: 1,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.68 : 5,701.50 = 1,202.68 : x
  2. Step 2: Convert to fraction form
    3,800.68/5,701.50 = 1,202.68/x
  3. Step 3: Cross multiply
    3,800.68x = 5,701.50 × 1,202.68
  4. Step 4: Simplify right side
    3,800.68x = 6,857,080.02
  5. Step 5: Solve for x
    x = 6,857,080.02/3,800.68
  6. Step 6: Final answer
    x = 1,804.17

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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.