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Finding the Fourth Proportional to 4,397.40, 6,605.70 and 4,234.20

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Solution

The fourth proportional to 4,397.40, 6,605.70 and 4,234.20 is: 6,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.40 : 6,605.70 = 4,234.20 : x
  2. Step 2: Convert to fraction form
    4,397.40/6,605.70 = 4,234.20/x
  3. Step 3: Cross multiply
    4,397.40x = 6,605.70 × 4,234.20
  4. Step 4: Simplify right side
    4,397.40x = 27,969,854.94
  5. Step 5: Solve for x
    x = 27,969,854.94/4,397.40
  6. Step 6: Final answer
    x = 6,360.54

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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.