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Finding the Fourth Proportional to 3,790.90, 5,706.82 and 3,409.45

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Solution

The fourth proportional to 3,790.90, 5,706.82 and 3,409.45 is: 5,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.90 : 5,706.82 = 3,409.45 : x
  2. Step 2: Convert to fraction form
    3,790.90/5,706.82 = 3,409.45/x
  3. Step 3: Cross multiply
    3,790.90x = 5,706.82 × 3,409.45
  4. Step 4: Simplify right side
    3,790.90x = 19,457,093.41
  5. Step 5: Solve for x
    x = 19,457,093.41/3,790.90
  6. Step 6: Final answer
    x = 5,132.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.