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Finding the Fourth Proportional to 3,763.68, 5,638.48 and 3,356.96

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Solution

The fourth proportional to 3,763.68, 5,638.48 and 3,356.96 is: 5,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.68 : 5,638.48 = 3,356.96 : x
  2. Step 2: Convert to fraction form
    3,763.68/5,638.48 = 3,356.96/x
  3. Step 3: Cross multiply
    3,763.68x = 5,638.48 × 3,356.96
  4. Step 4: Simplify right side
    3,763.68x = 18,928,151.82
  5. Step 5: Solve for x
    x = 18,928,151.82/3,763.68
  6. Step 6: Final answer
    x = 5,029.16

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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.