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Finding the Fourth Proportional to 5,277.24, 7,910.17 and 3,429.69

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Solution

The fourth proportional to 5,277.24, 7,910.17 and 3,429.69 is: 5,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.24 : 7,910.17 = 3,429.69 : x
  2. Step 2: Convert to fraction form
    5,277.24/7,910.17 = 3,429.69/x
  3. Step 3: Cross multiply
    5,277.24x = 7,910.17 × 3,429.69
  4. Step 4: Simplify right side
    5,277.24x = 27,129,430.95
  5. Step 5: Solve for x
    x = 27,129,430.95/5,277.24
  6. Step 6: Final answer
    x = 5,140.84

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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.