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Finding the Fourth Proportional to 4,308.71, 6,426.06 and 4,234.89

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Solution

The fourth proportional to 4,308.71, 6,426.06 and 4,234.89 is: 6,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.71 : 6,426.06 = 4,234.89 : x
  2. Step 2: Convert to fraction form
    4,308.71/6,426.06 = 4,234.89/x
  3. Step 3: Cross multiply
    4,308.71x = 6,426.06 × 4,234.89
  4. Step 4: Simplify right side
    4,308.71x = 27,213,665.45
  5. Step 5: Solve for x
    x = 27,213,665.45/4,308.71
  6. Step 6: Final answer
    x = 6,315.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.