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Finding the Fourth Proportional to 4,706.70, 7,061.41 and 2,243.59

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Solution

The fourth proportional to 4,706.70, 7,061.41 and 2,243.59 is: 3,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.70 : 7,061.41 = 2,243.59 : x
  2. Step 2: Convert to fraction form
    4,706.70/7,061.41 = 2,243.59/x
  3. Step 3: Cross multiply
    4,706.70x = 7,061.41 × 2,243.59
  4. Step 4: Simplify right side
    4,706.70x = 15,842,908.86
  5. Step 5: Solve for x
    x = 15,842,908.86/4,706.70
  6. Step 6: Final answer
    x = 3,366.03

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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.