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Finding the Fourth Proportional to 3,689.16, 5,091.06 and 2,033.16

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Solution

The fourth proportional to 3,689.16, 5,091.06 and 2,033.16 is: 2,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.16 : 5,091.06 = 2,033.16 : x
  2. Step 2: Convert to fraction form
    3,689.16/5,091.06 = 2,033.16/x
  3. Step 3: Cross multiply
    3,689.16x = 5,091.06 × 2,033.16
  4. Step 4: Simplify right side
    3,689.16x = 10,350,939.55
  5. Step 5: Solve for x
    x = 10,350,939.55/3,689.16
  6. Step 6: Final answer
    x = 2,805.77

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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.