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Finding the Fourth Proportional to 3,707.70, 5,116.74 and 2,029.22

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Solution

The fourth proportional to 3,707.70, 5,116.74 and 2,029.22 is: 2,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.70 : 5,116.74 = 2,029.22 : x
  2. Step 2: Convert to fraction form
    3,707.70/5,116.74 = 2,029.22/x
  3. Step 3: Cross multiply
    3,707.70x = 5,116.74 × 2,029.22
  4. Step 4: Simplify right side
    3,707.70x = 10,382,991.14
  5. Step 5: Solve for x
    x = 10,382,991.14/3,707.70
  6. Step 6: Final answer
    x = 2,800.39

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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.