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Finding the Fourth Proportional to 5,697.72, 7,871.31 and 5,653.98

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Solution

The fourth proportional to 5,697.72, 7,871.31 and 5,653.98 is: 7,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.72 : 7,871.31 = 5,653.98 : x
  2. Step 2: Convert to fraction form
    5,697.72/7,871.31 = 5,653.98/x
  3. Step 3: Cross multiply
    5,697.72x = 7,871.31 × 5,653.98
  4. Step 4: Simplify right side
    5,697.72x = 44,504,229.31
  5. Step 5: Solve for x
    x = 44,504,229.31/5,697.72
  6. Step 6: Final answer
    x = 7,810.88

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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.