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Finding the Fourth Proportional to 5,977.12, 8,249.16 and 3,880.48

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Solution

The fourth proportional to 5,977.12, 8,249.16 and 3,880.48 is: 5,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.12 : 8,249.16 = 3,880.48 : x
  2. Step 2: Convert to fraction form
    5,977.12/8,249.16 = 3,880.48/x
  3. Step 3: Cross multiply
    5,977.12x = 8,249.16 × 3,880.48
  4. Step 4: Simplify right side
    5,977.12x = 32,010,700.40
  5. Step 5: Solve for x
    x = 32,010,700.40/5,977.12
  6. Step 6: Final answer
    x = 5,355.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.