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Finding the Fourth Proportional to 5,468.58, 8,202.78 and 1,364.58

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Solution

The fourth proportional to 5,468.58, 8,202.78 and 1,364.58 is: 2,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.58 : 8,202.78 = 1,364.58 : x
  2. Step 2: Convert to fraction form
    5,468.58/8,202.78 = 1,364.58/x
  3. Step 3: Cross multiply
    5,468.58x = 8,202.78 × 1,364.58
  4. Step 4: Simplify right side
    5,468.58x = 11,193,349.53
  5. Step 5: Solve for x
    x = 11,193,349.53/5,468.58
  6. Step 6: Final answer
    x = 2,046.85

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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.