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Finding the Fourth Proportional to 5,287.17, 7,930.77 and 1,589.79

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Solution

The fourth proportional to 5,287.17, 7,930.77 and 1,589.79 is: 2,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.17 : 7,930.77 = 1,589.79 : x
  2. Step 2: Convert to fraction form
    5,287.17/7,930.77 = 1,589.79/x
  3. Step 3: Cross multiply
    5,287.17x = 7,930.77 × 1,589.79
  4. Step 4: Simplify right side
    5,287.17x = 12,608,258.84
  5. Step 5: Solve for x
    x = 12,608,258.84/5,287.17
  6. Step 6: Final answer
    x = 2,384.69

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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.