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Finding the Fourth Proportional to 4,571.99, 6,857.16 and 1,284.28

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Solution

The fourth proportional to 4,571.99, 6,857.16 and 1,284.28 is: 1,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.99 : 6,857.16 = 1,284.28 : x
  2. Step 2: Convert to fraction form
    4,571.99/6,857.16 = 1,284.28/x
  3. Step 3: Cross multiply
    4,571.99x = 6,857.16 × 1,284.28
  4. Step 4: Simplify right side
    4,571.99x = 8,806,513.44
  5. Step 5: Solve for x
    x = 8,806,513.44/4,571.99
  6. Step 6: Final answer
    x = 1,926.19

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Similar ratio
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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.