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Finding the Fourth Proportional to 3,696.54, 5,094.21 and 2,646.78

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Solution

The fourth proportional to 3,696.54, 5,094.21 and 2,646.78 is: 3,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.54 : 5,094.21 = 2,646.78 : x
  2. Step 2: Convert to fraction form
    3,696.54/5,094.21 = 2,646.78/x
  3. Step 3: Cross multiply
    3,696.54x = 5,094.21 × 2,646.78
  4. Step 4: Simplify right side
    3,696.54x = 13,483,253.14
  5. Step 5: Solve for x
    x = 13,483,253.14/3,696.54
  6. Step 6: Final answer
    x = 3,647.53

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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.