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Finding the Fourth Proportional to 5,685.35, 7,842.11 and 3,671.33

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Solution

The fourth proportional to 5,685.35, 7,842.11 and 3,671.33 is: 5,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.35 : 7,842.11 = 3,671.33 : x
  2. Step 2: Convert to fraction form
    5,685.35/7,842.11 = 3,671.33/x
  3. Step 3: Cross multiply
    5,685.35x = 7,842.11 × 3,671.33
  4. Step 4: Simplify right side
    5,685.35x = 28,790,916.14
  5. Step 5: Solve for x
    x = 28,790,916.14/5,685.35
  6. Step 6: Final answer
    x = 5,064.06

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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.