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Finding the Fourth Proportional to 3,665.64, 5,499.12 and 1,474.53

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Solution

The fourth proportional to 3,665.64, 5,499.12 and 1,474.53 is: 2,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.64 : 5,499.12 = 1,474.53 : x
  2. Step 2: Convert to fraction form
    3,665.64/5,499.12 = 1,474.53/x
  3. Step 3: Cross multiply
    3,665.64x = 5,499.12 × 1,474.53
  4. Step 4: Simplify right side
    3,665.64x = 8,108,617.41
  5. Step 5: Solve for x
    x = 8,108,617.41/3,665.64
  6. Step 6: Final answer
    x = 2,212.06

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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.