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Finding the Fourth Proportional to 3,485.79, 5,230.24 and 1,732.55

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Solution

The fourth proportional to 3,485.79, 5,230.24 and 1,732.55 is: 2,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.79 : 5,230.24 = 1,732.55 : x
  2. Step 2: Convert to fraction form
    3,485.79/5,230.24 = 1,732.55/x
  3. Step 3: Cross multiply
    3,485.79x = 5,230.24 × 1,732.55
  4. Step 4: Simplify right side
    3,485.79x = 9,061,621.83
  5. Step 5: Solve for x
    x = 9,061,621.83/3,485.79
  6. Step 6: Final answer
    x = 2,599.59

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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.