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Finding the Fourth Proportional to 5,854.66, 8,084.82 and 3,762.43

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Solution

The fourth proportional to 5,854.66, 8,084.82 and 3,762.43 is: 5,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.66 : 8,084.82 = 3,762.43 : x
  2. Step 2: Convert to fraction form
    5,854.66/8,084.82 = 3,762.43/x
  3. Step 3: Cross multiply
    5,854.66x = 8,084.82 × 3,762.43
  4. Step 4: Simplify right side
    5,854.66x = 30,418,569.31
  5. Step 5: Solve for x
    x = 30,418,569.31/5,854.66
  6. Step 6: Final answer
    x = 5,195.62

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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.