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Finding the Fourth Proportional to 6,349.46, 8,758.43 and 4,196.01

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Solution

The fourth proportional to 6,349.46, 8,758.43 and 4,196.01 is: 5,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.46 : 8,758.43 = 4,196.01 : x
  2. Step 2: Convert to fraction form
    6,349.46/8,758.43 = 4,196.01/x
  3. Step 3: Cross multiply
    6,349.46x = 8,758.43 × 4,196.01
  4. Step 4: Simplify right side
    6,349.46x = 36,750,438.88
  5. Step 5: Solve for x
    x = 36,750,438.88/6,349.46
  6. Step 6: Final answer
    x = 5,787.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.