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Finding the Fourth Proportional to 4,200.46, 5,797.07 and 3,150.70

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Solution

The fourth proportional to 4,200.46, 5,797.07 and 3,150.70 is: 4,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.46 : 5,797.07 = 3,150.70 : x
  2. Step 2: Convert to fraction form
    4,200.46/5,797.07 = 3,150.70/x
  3. Step 3: Cross multiply
    4,200.46x = 5,797.07 × 3,150.70
  4. Step 4: Simplify right side
    4,200.46x = 18,264,810.02
  5. Step 5: Solve for x
    x = 18,264,810.02/4,200.46
  6. Step 6: Final answer
    x = 4,348.29

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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.