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Finding the Fourth Proportional to 5,796.72, 8,695.20 and 4,346.40

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Solution

The fourth proportional to 5,796.72, 8,695.20 and 4,346.40 is: 6,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.72 : 8,695.20 = 4,346.40 : x
  2. Step 2: Convert to fraction form
    5,796.72/8,695.20 = 4,346.40/x
  3. Step 3: Cross multiply
    5,796.72x = 8,695.20 × 4,346.40
  4. Step 4: Simplify right side
    5,796.72x = 37,792,817.28
  5. Step 5: Solve for x
    x = 37,792,817.28/5,796.72
  6. Step 6: Final answer
    x = 6,519.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.