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Finding the Fourth Proportional to 3,821.74, 5,274.06 and 2,494.68

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Solution

The fourth proportional to 3,821.74, 5,274.06 and 2,494.68 is: 3,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.74 : 5,274.06 = 2,494.68 : x
  2. Step 2: Convert to fraction form
    3,821.74/5,274.06 = 2,494.68/x
  3. Step 3: Cross multiply
    3,821.74x = 5,274.06 × 2,494.68
  4. Step 4: Simplify right side
    3,821.74x = 13,157,092.00
  5. Step 5: Solve for x
    x = 13,157,092.00/3,821.74
  6. Step 6: Final answer
    x = 3,442.70

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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.