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Finding the Fourth Proportional to 4,690.20, 7,034.44 and 1,728

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Solution

The fourth proportional to 4,690.20, 7,034.44 and 1,728 is: 2,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.20 : 7,034.44 = 1,728 : x
  2. Step 2: Convert to fraction form
    4,690.20/7,034.44 = 1,728/x
  3. Step 3: Cross multiply
    4,690.20x = 7,034.44 × 1,728
  4. Step 4: Simplify right side
    4,690.20x = 12,155,512.32
  5. Step 5: Solve for x
    x = 12,155,512.32/4,690.20
  6. Step 6: Final answer
    x = 2,591.68

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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.