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Finding the Fourth Proportional to 5,593.64, 8,390.45 and 1,433.64

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Solution

The fourth proportional to 5,593.64, 8,390.45 and 1,433.64 is: 2,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,593.64 : 8,390.45 = 1,433.64 : x
  2. Step 2: Convert to fraction form
    5,593.64/8,390.45 = 1,433.64/x
  3. Step 3: Cross multiply
    5,593.64x = 8,390.45 × 1,433.64
  4. Step 4: Simplify right side
    5,593.64x = 12,028,919.79
  5. Step 5: Solve for x
    x = 12,028,919.79/5,593.64
  6. Step 6: Final answer
    x = 2,150.47

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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.