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Finding the Fourth Proportional to 5,899.29, 8,849.04 and 1,516.80

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Solution

The fourth proportional to 5,899.29, 8,849.04 and 1,516.80 is: 2,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.29 : 8,849.04 = 1,516.80 : x
  2. Step 2: Convert to fraction form
    5,899.29/8,849.04 = 1,516.80/x
  3. Step 3: Cross multiply
    5,899.29x = 8,849.04 × 1,516.80
  4. Step 4: Simplify right side
    5,899.29x = 13,422,223.87
  5. Step 5: Solve for x
    x = 13,422,223.87/5,899.29
  6. Step 6: Final answer
    x = 2,275.23

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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.