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Finding the Fourth Proportional to 5,488.96, 8,233.71 and 1,593.67

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Solution

The fourth proportional to 5,488.96, 8,233.71 and 1,593.67 is: 2,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.96 : 8,233.71 = 1,593.67 : x
  2. Step 2: Convert to fraction form
    5,488.96/8,233.71 = 1,593.67/x
  3. Step 3: Cross multiply
    5,488.96x = 8,233.71 × 1,593.67
  4. Step 4: Simplify right side
    5,488.96x = 13,121,816.62
  5. Step 5: Solve for x
    x = 13,121,816.62/5,488.96
  6. Step 6: Final answer
    x = 2,390.58

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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.