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Finding the Fourth Proportional to 3,670.08, 5,507.28 and 1,822.20

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Solution

The fourth proportional to 3,670.08, 5,507.28 and 1,822.20 is: 2,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.08 : 5,507.28 = 1,822.20 : x
  2. Step 2: Convert to fraction form
    3,670.08/5,507.28 = 1,822.20/x
  3. Step 3: Cross multiply
    3,670.08x = 5,507.28 × 1,822.20
  4. Step 4: Simplify right side
    3,670.08x = 10,035,365.62
  5. Step 5: Solve for x
    x = 10,035,365.62/3,670.08
  6. Step 6: Final answer
    x = 2,734.37

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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.