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Finding the Fourth Proportional to 3,663.74, 5,488.92 and 2,274.32

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Solution

The fourth proportional to 3,663.74, 5,488.92 and 2,274.32 is: 3,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.74 : 5,488.92 = 2,274.32 : x
  2. Step 2: Convert to fraction form
    3,663.74/5,488.92 = 2,274.32/x
  3. Step 3: Cross multiply
    3,663.74x = 5,488.92 × 2,274.32
  4. Step 4: Simplify right side
    3,663.74x = 12,483,560.53
  5. Step 5: Solve for x
    x = 12,483,560.53/3,663.74
  6. Step 6: Final answer
    x = 3,407.33

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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.