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Finding the Fourth Proportional to 4,196.58, 6,286.65 and 3,835.71

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Solution

The fourth proportional to 4,196.58, 6,286.65 and 3,835.71 is: 5,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.58 : 6,286.65 = 3,835.71 : x
  2. Step 2: Convert to fraction form
    4,196.58/6,286.65 = 3,835.71/x
  3. Step 3: Cross multiply
    4,196.58x = 6,286.65 × 3,835.71
  4. Step 4: Simplify right side
    4,196.58x = 24,113,766.27
  5. Step 5: Solve for x
    x = 24,113,766.27/4,196.58
  6. Step 6: Final answer
    x = 5,746.05

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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.