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Finding the Fourth Proportional to 3,842.56, 5,762.25 and 1,209.19

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Solution

The fourth proportional to 3,842.56, 5,762.25 and 1,209.19 is: 1,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.56 : 5,762.25 = 1,209.19 : x
  2. Step 2: Convert to fraction form
    3,842.56/5,762.25 = 1,209.19/x
  3. Step 3: Cross multiply
    3,842.56x = 5,762.25 × 1,209.19
  4. Step 4: Simplify right side
    3,842.56x = 6,967,655.08
  5. Step 5: Solve for x
    x = 6,967,655.08/3,842.56
  6. Step 6: Final answer
    x = 1,813.28

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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.