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Finding the Fourth Proportional to 3,806.09, 5,709.15 and 1,032.74

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Solution

The fourth proportional to 3,806.09, 5,709.15 and 1,032.74 is: 1,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.09 : 5,709.15 = 1,032.74 : x
  2. Step 2: Convert to fraction form
    3,806.09/5,709.15 = 1,032.74/x
  3. Step 3: Cross multiply
    3,806.09x = 5,709.15 × 1,032.74
  4. Step 4: Simplify right side
    3,806.09x = 5,896,039.03
  5. Step 5: Solve for x
    x = 5,896,039.03/3,806.09
  6. Step 6: Final answer
    x = 1,549.11

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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.