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Finding the Fourth Proportional to 3,673.52, 5,069.60 and 2,256.76

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Solution

The fourth proportional to 3,673.52, 5,069.60 and 2,256.76 is: 3,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.52 : 5,069.60 = 2,256.76 : x
  2. Step 2: Convert to fraction form
    3,673.52/5,069.60 = 2,256.76/x
  3. Step 3: Cross multiply
    3,673.52x = 5,069.60 × 2,256.76
  4. Step 4: Simplify right side
    3,673.52x = 11,440,833.86
  5. Step 5: Solve for x
    x = 11,440,833.86/3,673.52
  6. Step 6: Final answer
    x = 3,114.41

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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.