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Finding the Fourth Proportional to 3,672.96, 5,066.56 and 2,274.72

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Solution

The fourth proportional to 3,672.96, 5,066.56 and 2,274.72 is: 3,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.96 : 5,066.56 = 2,274.72 : x
  2. Step 2: Convert to fraction form
    3,672.96/5,066.56 = 2,274.72/x
  3. Step 3: Cross multiply
    3,672.96x = 5,066.56 × 2,274.72
  4. Step 4: Simplify right side
    3,672.96x = 11,525,005.36
  5. Step 5: Solve for x
    x = 11,525,005.36/3,672.96
  6. Step 6: Final answer
    x = 3,137.80

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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.