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Finding the Fourth Proportional to 5,726.52, 7,901.76 and 3,208.28

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Solution

The fourth proportional to 5,726.52, 7,901.76 and 3,208.28 is: 4,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.52 : 7,901.76 = 3,208.28 : x
  2. Step 2: Convert to fraction form
    5,726.52/7,901.76 = 3,208.28/x
  3. Step 3: Cross multiply
    5,726.52x = 7,901.76 × 3,208.28
  4. Step 4: Simplify right side
    5,726.52x = 25,351,058.57
  5. Step 5: Solve for x
    x = 25,351,058.57/5,726.52
  6. Step 6: Final answer
    x = 4,426.96

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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.