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Finding the Fourth Proportional to 3,593.66, 5,389.86 and 1,645.40

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Solution

The fourth proportional to 3,593.66, 5,389.86 and 1,645.40 is: 2,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.66 : 5,389.86 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    3,593.66/5,389.86 = 1,645.40/x
  3. Step 3: Cross multiply
    3,593.66x = 5,389.86 × 1,645.40
  4. Step 4: Simplify right side
    3,593.66x = 8,868,448.69
  5. Step 5: Solve for x
    x = 8,868,448.69/3,593.66
  6. Step 6: Final answer
    x = 2,467.81

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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.