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Finding the Fourth Proportional to 4,174.92, 6,263.46 and 2,094.84

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Solution

The fourth proportional to 4,174.92, 6,263.46 and 2,094.84 is: 3,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.92 : 6,263.46 = 2,094.84 : x
  2. Step 2: Convert to fraction form
    4,174.92/6,263.46 = 2,094.84/x
  3. Step 3: Cross multiply
    4,174.92x = 6,263.46 × 2,094.84
  4. Step 4: Simplify right side
    4,174.92x = 13,120,946.55
  5. Step 5: Solve for x
    x = 13,120,946.55/4,174.92
  6. Step 6: Final answer
    x = 3,142.80

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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.