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Finding the Fourth Proportional to 5,792.65, 7,994.71 and 3,668.37

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Solution

The fourth proportional to 5,792.65, 7,994.71 and 3,668.37 is: 5,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.65 : 7,994.71 = 3,668.37 : x
  2. Step 2: Convert to fraction form
    5,792.65/7,994.71 = 3,668.37/x
  3. Step 3: Cross multiply
    5,792.65x = 7,994.71 × 3,668.37
  4. Step 4: Simplify right side
    5,792.65x = 29,327,586.07
  5. Step 5: Solve for x
    x = 29,327,586.07/5,792.65
  6. Step 6: Final answer
    x = 5,062.90

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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.