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Finding the Fourth Proportional to 4,711.74, 7,059.51 and 3,245.66

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Solution

The fourth proportional to 4,711.74, 7,059.51 and 3,245.66 is: 4,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.74 : 7,059.51 = 3,245.66 : x
  2. Step 2: Convert to fraction form
    4,711.74/7,059.51 = 3,245.66/x
  3. Step 3: Cross multiply
    4,711.74x = 7,059.51 × 3,245.66
  4. Step 4: Simplify right side
    4,711.74x = 22,912,769.23
  5. Step 5: Solve for x
    x = 22,912,769.23/4,711.74
  6. Step 6: Final answer
    x = 4,862.91

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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.