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Finding the Fourth Proportional to 5,899.42, 8,849.13 and 2,004.13

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Solution

The fourth proportional to 5,899.42, 8,849.13 and 2,004.13 is: 3,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.42 : 8,849.13 = 2,004.13 : x
  2. Step 2: Convert to fraction form
    5,899.42/8,849.13 = 2,004.13/x
  3. Step 3: Cross multiply
    5,899.42x = 8,849.13 × 2,004.13
  4. Step 4: Simplify right side
    5,899.42x = 17,734,806.91
  5. Step 5: Solve for x
    x = 17,734,806.91/5,899.42
  6. Step 6: Final answer
    x = 3,006.20

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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.