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Finding the Fourth Proportional to 4,200.34, 5,797.02 and 2,431.60

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Solution

The fourth proportional to 4,200.34, 5,797.02 and 2,431.60 is: 3,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.34 : 5,797.02 = 2,431.60 : x
  2. Step 2: Convert to fraction form
    4,200.34/5,797.02 = 2,431.60/x
  3. Step 3: Cross multiply
    4,200.34x = 5,797.02 × 2,431.60
  4. Step 4: Simplify right side
    4,200.34x = 14,096,033.83
  5. Step 5: Solve for x
    x = 14,096,033.83/4,200.34
  6. Step 6: Final answer
    x = 3,355.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.