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Finding the Fourth Proportional to 5,784.62, 7,986.68 and 3,798.55

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Solution

The fourth proportional to 5,784.62, 7,986.68 and 3,798.55 is: 5,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.62 : 7,986.68 = 3,798.55 : x
  2. Step 2: Convert to fraction form
    5,784.62/7,986.68 = 3,798.55/x
  3. Step 3: Cross multiply
    5,784.62x = 7,986.68 × 3,798.55
  4. Step 4: Simplify right side
    5,784.62x = 30,337,744.39
  5. Step 5: Solve for x
    x = 30,337,744.39/5,784.62
  6. Step 6: Final answer
    x = 5,244.55

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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.