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Finding the Fourth Proportional to 5,740.31, 8,656.38 and 5,662.28

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Solution

The fourth proportional to 5,740.31, 8,656.38 and 5,662.28 is: 8,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.31 : 8,656.38 = 5,662.28 : x
  2. Step 2: Convert to fraction form
    5,740.31/8,656.38 = 5,662.28/x
  3. Step 3: Cross multiply
    5,740.31x = 8,656.38 × 5,662.28
  4. Step 4: Simplify right side
    5,740.31x = 49,014,847.35
  5. Step 5: Solve for x
    x = 49,014,847.35/5,740.31
  6. Step 6: Final answer
    x = 8,538.71

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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.