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Finding the Fourth Proportional to 6,277.21, 8,656.53 and 3,758.92

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Solution

The fourth proportional to 6,277.21, 8,656.53 and 3,758.92 is: 5,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.21 : 8,656.53 = 3,758.92 : x
  2. Step 2: Convert to fraction form
    6,277.21/8,656.53 = 3,758.92/x
  3. Step 3: Cross multiply
    6,277.21x = 8,656.53 × 3,758.92
  4. Step 4: Simplify right side
    6,277.21x = 32,539,203.75
  5. Step 5: Solve for x
    x = 32,539,203.75/6,277.21
  6. Step 6: Final answer
    x = 5,183.70

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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.