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Finding the Fourth Proportional to 5,287.67, 7,932.63 and 1,589.59

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Solution

The fourth proportional to 5,287.67, 7,932.63 and 1,589.59 is: 2,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.67 : 7,932.63 = 1,589.59 : x
  2. Step 2: Convert to fraction form
    5,287.67/7,932.63 = 1,589.59/x
  3. Step 3: Cross multiply
    5,287.67x = 7,932.63 × 1,589.59
  4. Step 4: Simplify right side
    5,287.67x = 12,609,589.66
  5. Step 5: Solve for x
    x = 12,609,589.66/5,287.67
  6. Step 6: Final answer
    x = 2,384.72

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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.