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Finding the Fourth Proportional to 4,963.41, 7,434.45 and 4,672.62

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Solution

The fourth proportional to 4,963.41, 7,434.45 and 4,672.62 is: 6,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.41 : 7,434.45 = 4,672.62 : x
  2. Step 2: Convert to fraction form
    4,963.41/7,434.45 = 4,672.62/x
  3. Step 3: Cross multiply
    4,963.41x = 7,434.45 × 4,672.62
  4. Step 4: Simplify right side
    4,963.41x = 34,738,359.76
  5. Step 5: Solve for x
    x = 34,738,359.76/4,963.41
  6. Step 6: Final answer
    x = 6,998.89

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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.