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Finding the Fourth Proportional to 5,838.81, 8,753.22 and 2,549.49

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Solution

The fourth proportional to 5,838.81, 8,753.22 and 2,549.49 is: 3,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.81 : 8,753.22 = 2,549.49 : x
  2. Step 2: Convert to fraction form
    5,838.81/8,753.22 = 2,549.49/x
  3. Step 3: Cross multiply
    5,838.81x = 8,753.22 × 2,549.49
  4. Step 4: Simplify right side
    5,838.81x = 22,316,246.86
  5. Step 5: Solve for x
    x = 22,316,246.86/5,838.81
  6. Step 6: Final answer
    x = 3,822.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.