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Finding the Fourth Proportional to 5,726.96, 7,903.69 and 3,209.03

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Solution

The fourth proportional to 5,726.96, 7,903.69 and 3,209.03 is: 4,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.96 : 7,903.69 = 3,209.03 : x
  2. Step 2: Convert to fraction form
    5,726.96/7,903.69 = 3,209.03/x
  3. Step 3: Cross multiply
    5,726.96x = 7,903.69 × 3,209.03
  4. Step 4: Simplify right side
    5,726.96x = 25,363,190.06
  5. Step 5: Solve for x
    x = 25,363,190.06/5,726.96
  6. Step 6: Final answer
    x = 4,428.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.