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Finding the Fourth Proportional to 3,922.42, 5,883.70 and 1,730.68

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Solution

The fourth proportional to 3,922.42, 5,883.70 and 1,730.68 is: 2,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.42 : 5,883.70 = 1,730.68 : x
  2. Step 2: Convert to fraction form
    3,922.42/5,883.70 = 1,730.68/x
  3. Step 3: Cross multiply
    3,922.42x = 5,883.70 × 1,730.68
  4. Step 4: Simplify right side
    3,922.42x = 10,182,801.92
  5. Step 5: Solve for x
    x = 10,182,801.92/3,922.42
  6. Step 6: Final answer
    x = 2,596.05

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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.