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Finding the Fourth Proportional to 3,806.00, 5,709.11 and 1,032.66

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Solution

The fourth proportional to 3,806.00, 5,709.11 and 1,032.66 is: 1,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.00 : 5,709.11 = 1,032.66 : x
  2. Step 2: Convert to fraction form
    3,806.00/5,709.11 = 1,032.66/x
  3. Step 3: Cross multiply
    3,806.00x = 5,709.11 × 1,032.66
  4. Step 4: Simplify right side
    3,806.00x = 5,895,564.37
  5. Step 5: Solve for x
    x = 5,895,564.37/3,806.00
  6. Step 6: Final answer
    x = 1,549.02

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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.