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Finding the Fourth Proportional to 5,702.68, 7,871.60 and 3,343.96

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Solution

The fourth proportional to 5,702.68, 7,871.60 and 3,343.96 is: 4,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.68 : 7,871.60 = 3,343.96 : x
  2. Step 2: Convert to fraction form
    5,702.68/7,871.60 = 3,343.96/x
  3. Step 3: Cross multiply
    5,702.68x = 7,871.60 × 3,343.96
  4. Step 4: Simplify right side
    5,702.68x = 26,322,315.54
  5. Step 5: Solve for x
    x = 26,322,315.54/5,702.68
  6. Step 6: Final answer
    x = 4,615.78

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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.