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Finding the Fourth Proportional to 5,781.58, 7,976.63 and 3,764.08

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Solution

The fourth proportional to 5,781.58, 7,976.63 and 3,764.08 is: 5,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.58 : 7,976.63 = 3,764.08 : x
  2. Step 2: Convert to fraction form
    5,781.58/7,976.63 = 3,764.08/x
  3. Step 3: Cross multiply
    5,781.58x = 7,976.63 × 3,764.08
  4. Step 4: Simplify right side
    5,781.58x = 30,024,626.79
  5. Step 5: Solve for x
    x = 30,024,626.79/5,781.58
  6. Step 6: Final answer
    x = 5,193.15

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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.