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Finding the Fourth Proportional to 5,741.31, 8,657.89 and 5,663.28

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Solution

The fourth proportional to 5,741.31, 8,657.89 and 5,663.28 is: 8,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.31 : 8,657.89 = 5,663.28 : x
  2. Step 2: Convert to fraction form
    5,741.31/8,657.89 = 5,663.28/x
  3. Step 3: Cross multiply
    5,741.31x = 8,657.89 × 5,663.28
  4. Step 4: Simplify right side
    5,741.31x = 49,032,055.28
  5. Step 5: Solve for x
    x = 49,032,055.28/5,741.31
  6. Step 6: Final answer
    x = 8,540.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.