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Finding the Fourth Proportional to 3,706.81, 5,114.29 and 3,351.63

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Solution

The fourth proportional to 3,706.81, 5,114.29 and 3,351.63 is: 4,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.81 : 5,114.29 = 3,351.63 : x
  2. Step 2: Convert to fraction form
    3,706.81/5,114.29 = 3,351.63/x
  3. Step 3: Cross multiply
    3,706.81x = 5,114.29 × 3,351.63
  4. Step 4: Simplify right side
    3,706.81x = 17,141,196.11
  5. Step 5: Solve for x
    x = 17,141,196.11/3,706.81
  6. Step 6: Final answer
    x = 4,624.24

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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.