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Finding the Fourth Proportional to 4,325.88, 6,489.63 and 1,728.84

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Solution

The fourth proportional to 4,325.88, 6,489.63 and 1,728.84 is: 2,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.88 : 6,489.63 = 1,728.84 : x
  2. Step 2: Convert to fraction form
    4,325.88/6,489.63 = 1,728.84/x
  3. Step 3: Cross multiply
    4,325.88x = 6,489.63 × 1,728.84
  4. Step 4: Simplify right side
    4,325.88x = 11,219,531.93
  5. Step 5: Solve for x
    x = 11,219,531.93/4,325.88
  6. Step 6: Final answer
    x = 2,593.58

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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.