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Finding the Fourth Proportional to 5,788.14, 8,682.59 and 2,277.87

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Solution

The fourth proportional to 5,788.14, 8,682.59 and 2,277.87 is: 3,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.14 : 8,682.59 = 2,277.87 : x
  2. Step 2: Convert to fraction form
    5,788.14/8,682.59 = 2,277.87/x
  3. Step 3: Cross multiply
    5,788.14x = 8,682.59 × 2,277.87
  4. Step 4: Simplify right side
    5,788.14x = 19,777,811.28
  5. Step 5: Solve for x
    x = 19,777,811.28/5,788.14
  6. Step 6: Final answer
    x = 3,416.95

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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.