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Finding the Fourth Proportional to 3,681.44, 5,076.24 and 2,684.96

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Solution

The fourth proportional to 3,681.44, 5,076.24 and 2,684.96 is: 3,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.44 : 5,076.24 = 2,684.96 : x
  2. Step 2: Convert to fraction form
    3,681.44/5,076.24 = 2,684.96/x
  3. Step 3: Cross multiply
    3,681.44x = 5,076.24 × 2,684.96
  4. Step 4: Simplify right side
    3,681.44x = 13,629,501.35
  5. Step 5: Solve for x
    x = 13,629,501.35/3,681.44
  6. Step 6: Final answer
    x = 3,702.22

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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.