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Finding the Fourth Proportional to 4,270.72, 6,406.88 and 1,349.76

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Solution

The fourth proportional to 4,270.72, 6,406.88 and 1,349.76 is: 2,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.72 : 6,406.88 = 1,349.76 : x
  2. Step 2: Convert to fraction form
    4,270.72/6,406.88 = 1,349.76/x
  3. Step 3: Cross multiply
    4,270.72x = 6,406.88 × 1,349.76
  4. Step 4: Simplify right side
    4,270.72x = 8,647,750.35
  5. Step 5: Solve for x
    x = 8,647,750.35/4,270.72
  6. Step 6: Final answer
    x = 2,024.89

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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.