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Finding the Fourth Proportional to 3,706.68, 5,117.06 and 2,448.56

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Solution

The fourth proportional to 3,706.68, 5,117.06 and 2,448.56 is: 3,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.68 : 5,117.06 = 2,448.56 : x
  2. Step 2: Convert to fraction form
    3,706.68/5,117.06 = 2,448.56/x
  3. Step 3: Cross multiply
    3,706.68x = 5,117.06 × 2,448.56
  4. Step 4: Simplify right side
    3,706.68x = 12,529,428.43
  5. Step 5: Solve for x
    x = 12,529,428.43/3,706.68
  6. Step 6: Final answer
    x = 3,380.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.