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Finding the Fourth Proportional to 5,721.39, 7,895.46 and 3,203.47

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Solution

The fourth proportional to 5,721.39, 7,895.46 and 3,203.47 is: 4,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.39 : 7,895.46 = 3,203.47 : x
  2. Step 2: Convert to fraction form
    5,721.39/7,895.46 = 3,203.47/x
  3. Step 3: Cross multiply
    5,721.39x = 7,895.46 × 3,203.47
  4. Step 4: Simplify right side
    5,721.39x = 25,292,869.25
  5. Step 5: Solve for x
    x = 25,292,869.25/5,721.39
  6. Step 6: Final answer
    x = 4,420.76

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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.