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Finding the Fourth Proportional to 4,096.34, 6,138.64 and 2,337.70

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Solution

The fourth proportional to 4,096.34, 6,138.64 and 2,337.70 is: 3,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.34 : 6,138.64 = 2,337.70 : x
  2. Step 2: Convert to fraction form
    4,096.34/6,138.64 = 2,337.70/x
  3. Step 3: Cross multiply
    4,096.34x = 6,138.64 × 2,337.70
  4. Step 4: Simplify right side
    4,096.34x = 14,350,298.73
  5. Step 5: Solve for x
    x = 14,350,298.73/4,096.34
  6. Step 6: Final answer
    x = 3,503.20

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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.