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Finding the Fourth Proportional to 5,721.76, 7,895.98 and 3,203.86

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Solution

The fourth proportional to 5,721.76, 7,895.98 and 3,203.86 is: 4,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.76 : 7,895.98 = 3,203.86 : x
  2. Step 2: Convert to fraction form
    5,721.76/7,895.98 = 3,203.86/x
  3. Step 3: Cross multiply
    5,721.76x = 7,895.98 × 3,203.86
  4. Step 4: Simplify right side
    5,721.76x = 25,297,614.48
  5. Step 5: Solve for x
    x = 25,297,614.48/5,721.76
  6. Step 6: Final answer
    x = 4,421.30

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Why These Related Problems?

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