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Finding the Fourth Proportional to 6,440.16, 9,658.24 and 2,056.44

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Solution

The fourth proportional to 6,440.16, 9,658.24 and 2,056.44 is: 3,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.16 : 9,658.24 = 2,056.44 : x
  2. Step 2: Convert to fraction form
    6,440.16/9,658.24 = 2,056.44/x
  3. Step 3: Cross multiply
    6,440.16x = 9,658.24 × 2,056.44
  4. Step 4: Simplify right side
    6,440.16x = 19,861,591.07
  5. Step 5: Solve for x
    x = 19,861,591.07/6,440.16
  6. Step 6: Final answer
    x = 3,084.02

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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.