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Finding the Fourth Proportional to 5,745.84, 8,604.14 and 4,589.16

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Solution

The fourth proportional to 5,745.84, 8,604.14 and 4,589.16 is: 6,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.84 : 8,604.14 = 4,589.16 : x
  2. Step 2: Convert to fraction form
    5,745.84/8,604.14 = 4,589.16/x
  3. Step 3: Cross multiply
    5,745.84x = 8,604.14 × 4,589.16
  4. Step 4: Simplify right side
    5,745.84x = 39,485,752.18
  5. Step 5: Solve for x
    x = 39,485,752.18/5,745.84
  6. Step 6: Final answer
    x = 6,872.06

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1.5x scale

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.