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Finding the Fourth Proportional to 4,062.94, 6,102.61 and 2,422.70

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Solution

The fourth proportional to 4,062.94, 6,102.61 and 2,422.70 is: 3,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.94 : 6,102.61 = 2,422.70 : x
  2. Step 2: Convert to fraction form
    4,062.94/6,102.61 = 2,422.70/x
  3. Step 3: Cross multiply
    4,062.94x = 6,102.61 × 2,422.70
  4. Step 4: Simplify right side
    4,062.94x = 14,784,793.25
  5. Step 5: Solve for x
    x = 14,784,793.25/4,062.94
  6. Step 6: Final answer
    x = 3,638.94

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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.