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Finding the Fourth Proportional to 5,892.81, 8,132.13 and 3,204.02

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Solution

The fourth proportional to 5,892.81, 8,132.13 and 3,204.02 is: 4,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.81 : 8,132.13 = 3,204.02 : x
  2. Step 2: Convert to fraction form
    5,892.81/8,132.13 = 3,204.02/x
  3. Step 3: Cross multiply
    5,892.81x = 8,132.13 × 3,204.02
  4. Step 4: Simplify right side
    5,892.81x = 26,055,466.50
  5. Step 5: Solve for x
    x = 26,055,466.50/5,892.81
  6. Step 6: Final answer
    x = 4,421.57

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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.