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Finding the Fourth Proportional to 4,379, 6,570.30 and 3,214.94

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Solution

The fourth proportional to 4,379, 6,570.30 and 3,214.94 is: 4,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379 : 6,570.30 = 3,214.94 : x
  2. Step 2: Convert to fraction form
    4,379/6,570.30 = 3,214.94/x
  3. Step 3: Cross multiply
    4,379x = 6,570.30 × 3,214.94
  4. Step 4: Simplify right side
    4,379x = 21,123,120.28
  5. Step 5: Solve for x
    x = 21,123,120.28/4,379
  6. Step 6: Final answer
    x = 4,823.73

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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.