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Finding the Fourth Proportional to 5,889.74, 8,832.45 and 1,728.68

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Solution

The fourth proportional to 5,889.74, 8,832.45 and 1,728.68 is: 2,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.74 : 8,832.45 = 1,728.68 : x
  2. Step 2: Convert to fraction form
    5,889.74/8,832.45 = 1,728.68/x
  3. Step 3: Cross multiply
    5,889.74x = 8,832.45 × 1,728.68
  4. Step 4: Simplify right side
    5,889.74x = 15,268,479.67
  5. Step 5: Solve for x
    x = 15,268,479.67/5,889.74
  6. Step 6: Final answer
    x = 2,592.39

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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.