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Finding the Fourth Proportional to 3,834.72, 5,752.31 and 1,202.72

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Solution

The fourth proportional to 3,834.72, 5,752.31 and 1,202.72 is: 1,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.72 : 5,752.31 = 1,202.72 : x
  2. Step 2: Convert to fraction form
    3,834.72/5,752.31 = 1,202.72/x
  3. Step 3: Cross multiply
    3,834.72x = 5,752.31 × 1,202.72
  4. Step 4: Simplify right side
    3,834.72x = 6,918,383.51
  5. Step 5: Solve for x
    x = 6,918,383.51/3,834.72
  6. Step 6: Final answer
    x = 1,804.14

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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.