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Finding the Fourth Proportional to 3,788.04, 5,677.14 and 1,593.84

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Solution

The fourth proportional to 3,788.04, 5,677.14 and 1,593.84 is: 2,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.04 : 5,677.14 = 1,593.84 : x
  2. Step 2: Convert to fraction form
    3,788.04/5,677.14 = 1,593.84/x
  3. Step 3: Cross multiply
    3,788.04x = 5,677.14 × 1,593.84
  4. Step 4: Simplify right side
    3,788.04x = 9,048,452.82
  5. Step 5: Solve for x
    x = 9,048,452.82/3,788.04
  6. Step 6: Final answer
    x = 2,388.69

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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.