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Finding the Fourth Proportional to 3,738.07, 5,612.28 and 2,095.66

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Solution

The fourth proportional to 3,738.07, 5,612.28 and 2,095.66 is: 3,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.07 : 5,612.28 = 2,095.66 : x
  2. Step 2: Convert to fraction form
    3,738.07/5,612.28 = 2,095.66/x
  3. Step 3: Cross multiply
    3,738.07x = 5,612.28 × 2,095.66
  4. Step 4: Simplify right side
    3,738.07x = 11,761,430.70
  5. Step 5: Solve for x
    x = 11,761,430.70/3,738.07
  6. Step 6: Final answer
    x = 3,146.39

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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.