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Finding the Fourth Proportional to 5,178.69, 7,150.28 and 3,189.87

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Solution

The fourth proportional to 5,178.69, 7,150.28 and 3,189.87 is: 4,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.69 : 7,150.28 = 3,189.87 : x
  2. Step 2: Convert to fraction form
    5,178.69/7,150.28 = 3,189.87/x
  3. Step 3: Cross multiply
    5,178.69x = 7,150.28 × 3,189.87
  4. Step 4: Simplify right side
    5,178.69x = 22,808,447.71
  5. Step 5: Solve for x
    x = 22,808,447.71/5,178.69
  6. Step 6: Final answer
    x = 4,404.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.