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Finding the Fourth Proportional to 3,995.68, 5,513.84 and 3,000.16

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Solution

The fourth proportional to 3,995.68, 5,513.84 and 3,000.16 is: 4,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.68 : 5,513.84 = 3,000.16 : x
  2. Step 2: Convert to fraction form
    3,995.68/5,513.84 = 3,000.16/x
  3. Step 3: Cross multiply
    3,995.68x = 5,513.84 × 3,000.16
  4. Step 4: Simplify right side
    3,995.68x = 16,542,402.21
  5. Step 5: Solve for x
    x = 16,542,402.21/3,995.68
  6. Step 6: Final answer
    x = 4,140.07

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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.