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Finding the Fourth Proportional to 5,695.96, 7,858.62 and 3,211.48

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Solution

The fourth proportional to 5,695.96, 7,858.62 and 3,211.48 is: 4,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.96 : 7,858.62 = 3,211.48 : x
  2. Step 2: Convert to fraction form
    5,695.96/7,858.62 = 3,211.48/x
  3. Step 3: Cross multiply
    5,695.96x = 7,858.62 × 3,211.48
  4. Step 4: Simplify right side
    5,695.96x = 25,237,800.96
  5. Step 5: Solve for x
    x = 25,237,800.96/5,695.96
  6. Step 6: Final answer
    x = 4,430.82

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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.