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Finding the Fourth Proportional to 4,571.85, 6,857.78 and 4,024.65

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Solution

The fourth proportional to 4,571.85, 6,857.78 and 4,024.65 is: 6,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.85 : 6,857.78 = 4,024.65 : x
  2. Step 2: Convert to fraction form
    4,571.85/6,857.78 = 4,024.65/x
  3. Step 3: Cross multiply
    4,571.85x = 6,857.78 × 4,024.65
  4. Step 4: Simplify right side
    4,571.85x = 27,600,144.15
  5. Step 5: Solve for x
    x = 27,600,144.15/4,571.85
  6. Step 6: Final answer
    x = 6,036.98

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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.