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Finding the Fourth Proportional to 4,142.94, 6,200.01 and 3,443.10

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Solution

The fourth proportional to 4,142.94, 6,200.01 and 3,443.10 is: 5,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.94 : 6,200.01 = 3,443.10 : x
  2. Step 2: Convert to fraction form
    4,142.94/6,200.01 = 3,443.10/x
  3. Step 3: Cross multiply
    4,142.94x = 6,200.01 × 3,443.10
  4. Step 4: Simplify right side
    4,142.94x = 21,347,254.43
  5. Step 5: Solve for x
    x = 21,347,254.43/4,142.94
  6. Step 6: Final answer
    x = 5,152.68

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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.