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Finding the Fourth Proportional to 5,941.24, 8,861.61 and 5,598.61

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Solution

The fourth proportional to 5,941.24, 8,861.61 and 5,598.61 is: 8,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.24 : 8,861.61 = 5,598.61 : x
  2. Step 2: Convert to fraction form
    5,941.24/8,861.61 = 5,598.61/x
  3. Step 3: Cross multiply
    5,941.24x = 8,861.61 × 5,598.61
  4. Step 4: Simplify right side
    5,941.24x = 49,612,626.06
  5. Step 5: Solve for x
    x = 49,612,626.06/5,941.24
  6. Step 6: Final answer
    x = 8,350.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.