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Finding the Fourth Proportional to 3,842.93, 5,763.74 and 1,069.87

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Solution

The fourth proportional to 3,842.93, 5,763.74 and 1,069.87 is: 1,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.93 : 5,763.74 = 1,069.87 : x
  2. Step 2: Convert to fraction form
    3,842.93/5,763.74 = 1,069.87/x
  3. Step 3: Cross multiply
    3,842.93x = 5,763.74 × 1,069.87
  4. Step 4: Simplify right side
    3,842.93x = 6,166,452.51
  5. Step 5: Solve for x
    x = 6,166,452.51/3,842.93
  6. Step 6: Final answer
    x = 1,604.62

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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.