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Finding the Fourth Proportional to 5,993.57, 8,977.25 and 4,941.77

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Solution

The fourth proportional to 5,993.57, 8,977.25 and 4,941.77 is: 7,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.57 : 8,977.25 = 4,941.77 : x
  2. Step 2: Convert to fraction form
    5,993.57/8,977.25 = 4,941.77/x
  3. Step 3: Cross multiply
    5,993.57x = 8,977.25 × 4,941.77
  4. Step 4: Simplify right side
    5,993.57x = 44,363,472.20
  5. Step 5: Solve for x
    x = 44,363,472.20/5,993.57
  6. Step 6: Final answer
    x = 7,401.84

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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.