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Finding the Fourth Proportional to 5,606.08, 7,734.77 and 3,617.80

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Solution

The fourth proportional to 5,606.08, 7,734.77 and 3,617.80 is: 4,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.08 : 7,734.77 = 3,617.80 : x
  2. Step 2: Convert to fraction form
    5,606.08/7,734.77 = 3,617.80/x
  3. Step 3: Cross multiply
    5,606.08x = 7,734.77 × 3,617.80
  4. Step 4: Simplify right side
    5,606.08x = 27,982,832.82
  5. Step 5: Solve for x
    x = 27,982,832.82/5,606.08
  6. Step 6: Final answer
    x = 4,991.52

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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.