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Finding the Fourth Proportional to 5,867.29, 8,798.19 and 3,402.81

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Solution

The fourth proportional to 5,867.29, 8,798.19 and 3,402.81 is: 5,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.29 : 8,798.19 = 3,402.81 : x
  2. Step 2: Convert to fraction form
    5,867.29/8,798.19 = 3,402.81/x
  3. Step 3: Cross multiply
    5,867.29x = 8,798.19 × 3,402.81
  4. Step 4: Simplify right side
    5,867.29x = 29,938,584.86
  5. Step 5: Solve for x
    x = 29,938,584.86/5,867.29
  6. Step 6: Final answer
    x = 5,102.63

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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.