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Finding the Fourth Proportional to 3,696.88, 5,123.74 and 3,627.76

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Solution

The fourth proportional to 3,696.88, 5,123.74 and 3,627.76 is: 5,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.88 : 5,123.74 = 3,627.76 : x
  2. Step 2: Convert to fraction form
    3,696.88/5,123.74 = 3,627.76/x
  3. Step 3: Cross multiply
    3,696.88x = 5,123.74 × 3,627.76
  4. Step 4: Simplify right side
    3,696.88x = 18,587,699.02
  5. Step 5: Solve for x
    x = 18,587,699.02/3,696.88
  6. Step 6: Final answer
    x = 5,027.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.