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Finding the Fourth Proportional to 5,103.62, 7,656.54 and 1,593.56

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Solution

The fourth proportional to 5,103.62, 7,656.54 and 1,593.56 is: 2,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.62 : 7,656.54 = 1,593.56 : x
  2. Step 2: Convert to fraction form
    5,103.62/7,656.54 = 1,593.56/x
  3. Step 3: Cross multiply
    5,103.62x = 7,656.54 × 1,593.56
  4. Step 4: Simplify right side
    5,103.62x = 12,201,155.88
  5. Step 5: Solve for x
    x = 12,201,155.88/5,103.62
  6. Step 6: Final answer
    x = 2,390.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.