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Finding the Fourth Proportional to 5,630.59, 7,768.32 and 3,643.66

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Solution

The fourth proportional to 5,630.59, 7,768.32 and 3,643.66 is: 5,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.59 : 7,768.32 = 3,643.66 : x
  2. Step 2: Convert to fraction form
    5,630.59/7,768.32 = 3,643.66/x
  3. Step 3: Cross multiply
    5,630.59x = 7,768.32 × 3,643.66
  4. Step 4: Simplify right side
    5,630.59x = 28,305,116.85
  5. Step 5: Solve for x
    x = 28,305,116.85/5,630.59
  6. Step 6: Final answer
    x = 5,027.03

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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.