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Finding the Fourth Proportional to 5,287.32, 7,930.44 and 1,338.60

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Solution

The fourth proportional to 5,287.32, 7,930.44 and 1,338.60 is: 2,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.32 : 7,930.44 = 1,338.60 : x
  2. Step 2: Convert to fraction form
    5,287.32/7,930.44 = 1,338.60/x
  3. Step 3: Cross multiply
    5,287.32x = 7,930.44 × 1,338.60
  4. Step 4: Simplify right side
    5,287.32x = 10,615,686.98
  5. Step 5: Solve for x
    x = 10,615,686.98/5,287.32
  6. Step 6: Final answer
    x = 2,007.76

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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.