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Finding the Fourth Proportional to 5,726.97, 7,903.56 and 3,209.28

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Solution

The fourth proportional to 5,726.97, 7,903.56 and 3,209.28 is: 4,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.97 : 7,903.56 = 3,209.28 : x
  2. Step 2: Convert to fraction form
    5,726.97/7,903.56 = 3,209.28/x
  3. Step 3: Cross multiply
    5,726.97x = 7,903.56 × 3,209.28
  4. Step 4: Simplify right side
    5,726.97x = 25,364,737.04
  5. Step 5: Solve for x
    x = 25,364,737.04/5,726.97
  6. Step 6: Final answer
    x = 4,429.00

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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.