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Finding the Fourth Proportional to 5,155.14, 7,719 and 3,514.92

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Solution

The fourth proportional to 5,155.14, 7,719 and 3,514.92 is: 5,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.14 : 7,719 = 3,514.92 : x
  2. Step 2: Convert to fraction form
    5,155.14/7,719 = 3,514.92/x
  3. Step 3: Cross multiply
    5,155.14x = 7,719 × 3,514.92
  4. Step 4: Simplify right side
    5,155.14x = 27,131,667.48
  5. Step 5: Solve for x
    x = 27,131,667.48/5,155.14
  6. Step 6: Final answer
    x = 5,263.03

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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.