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Finding the Fourth Proportional to 5,805.65, 8,014.75 and 3,683.35

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Solution

The fourth proportional to 5,805.65, 8,014.75 and 3,683.35 is: 5,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.65 : 8,014.75 = 3,683.35 : x
  2. Step 2: Convert to fraction form
    5,805.65/8,014.75 = 3,683.35/x
  3. Step 3: Cross multiply
    5,805.65x = 8,014.75 × 3,683.35
  4. Step 4: Simplify right side
    5,805.65x = 29,521,107.68
  5. Step 5: Solve for x
    x = 29,521,107.68/5,805.65
  6. Step 6: Final answer
    x = 5,084.89

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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.