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Finding the Fourth Proportional to 5,147.50, 7,105.18 and 3,284.50

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Solution

The fourth proportional to 5,147.50, 7,105.18 and 3,284.50 is: 4,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.50 : 7,105.18 = 3,284.50 : x
  2. Step 2: Convert to fraction form
    5,147.50/7,105.18 = 3,284.50/x
  3. Step 3: Cross multiply
    5,147.50x = 7,105.18 × 3,284.50
  4. Step 4: Simplify right side
    5,147.50x = 23,336,963.71
  5. Step 5: Solve for x
    x = 23,336,963.71/5,147.50
  6. Step 6: Final answer
    x = 4,533.65

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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.