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Finding the Fourth Proportional to 5,842.53, 8,761.77 and 4,194.18

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Solution

The fourth proportional to 5,842.53, 8,761.77 and 4,194.18 is: 6,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.53 : 8,761.77 = 4,194.18 : x
  2. Step 2: Convert to fraction form
    5,842.53/8,761.77 = 4,194.18/x
  3. Step 3: Cross multiply
    5,842.53x = 8,761.77 × 4,194.18
  4. Step 4: Simplify right side
    5,842.53x = 36,748,440.50
  5. Step 5: Solve for x
    x = 36,748,440.50/5,842.53
  6. Step 6: Final answer
    x = 6,289.82

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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.