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Finding the Fourth Proportional to 5,275.27, 7,281.31 and 3,284.66

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Solution

The fourth proportional to 5,275.27, 7,281.31 and 3,284.66 is: 4,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.27 : 7,281.31 = 3,284.66 : x
  2. Step 2: Convert to fraction form
    5,275.27/7,281.31 = 3,284.66/x
  3. Step 3: Cross multiply
    5,275.27x = 7,281.31 × 3,284.66
  4. Step 4: Simplify right side
    5,275.27x = 23,916,627.70
  5. Step 5: Solve for x
    x = 23,916,627.70/5,275.27
  6. Step 6: Final answer
    x = 4,533.73

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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.