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Finding the Fourth Proportional to 5,286.11, 7,946.22 and 4,257.59

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Solution

The fourth proportional to 5,286.11, 7,946.22 and 4,257.59 is: 6,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.11 : 7,946.22 = 4,257.59 : x
  2. Step 2: Convert to fraction form
    5,286.11/7,946.22 = 4,257.59/x
  3. Step 3: Cross multiply
    5,286.11x = 7,946.22 × 4,257.59
  4. Step 4: Simplify right side
    5,286.11x = 33,831,746.81
  5. Step 5: Solve for x
    x = 33,831,746.81/5,286.11
  6. Step 6: Final answer
    x = 6,400.12

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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.