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Finding the Fourth Proportional to 4,203.46, 5,800.80 and 2,340.46

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Solution

The fourth proportional to 4,203.46, 5,800.80 and 2,340.46 is: 3,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.46 : 5,800.80 = 2,340.46 : x
  2. Step 2: Convert to fraction form
    4,203.46/5,800.80 = 2,340.46/x
  3. Step 3: Cross multiply
    4,203.46x = 5,800.80 × 2,340.46
  4. Step 4: Simplify right side
    4,203.46x = 13,576,540.37
  5. Step 5: Solve for x
    x = 13,576,540.37/4,203.46
  6. Step 6: Final answer
    x = 3,229.85

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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.