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Finding the Fourth Proportional to 5,721.88, 7,895.83 and 3,203.57

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Solution

The fourth proportional to 5,721.88, 7,895.83 and 3,203.57 is: 4,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.88 : 7,895.83 = 3,203.57 : x
  2. Step 2: Convert to fraction form
    5,721.88/7,895.83 = 3,203.57/x
  3. Step 3: Cross multiply
    5,721.88x = 7,895.83 × 3,203.57
  4. Step 4: Simplify right side
    5,721.88x = 25,294,844.11
  5. Step 5: Solve for x
    x = 25,294,844.11/5,721.88
  6. Step 6: Final answer
    x = 4,420.72

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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.