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Finding the Fourth Proportional to 5,993.56, 8,977.26 and 4,941.74

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Solution

The fourth proportional to 5,993.56, 8,977.26 and 4,941.74 is: 7,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.56 : 8,977.26 = 4,941.74 : x
  2. Step 2: Convert to fraction form
    5,993.56/8,977.26 = 4,941.74/x
  3. Step 3: Cross multiply
    5,993.56x = 8,977.26 × 4,941.74
  4. Step 4: Simplify right side
    5,993.56x = 44,363,325.81
  5. Step 5: Solve for x
    x = 44,363,325.81/5,993.56
  6. Step 6: Final answer
    x = 7,401.83

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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.