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Finding the Fourth Proportional to 3,777.78, 5,664.72 and 1,696

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Solution

The fourth proportional to 3,777.78, 5,664.72 and 1,696 is: 2,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.78 : 5,664.72 = 1,696 : x
  2. Step 2: Convert to fraction form
    3,777.78/5,664.72 = 1,696/x
  3. Step 3: Cross multiply
    3,777.78x = 5,664.72 × 1,696
  4. Step 4: Simplify right side
    3,777.78x = 9,607,365.12
  5. Step 5: Solve for x
    x = 9,607,365.12/3,777.78
  6. Step 6: Final answer
    x = 2,543.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.