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Finding the Fourth Proportional to 3,785.47, 5,227.26 and 3,661.54

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Solution

The fourth proportional to 3,785.47, 5,227.26 and 3,661.54 is: 5,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.47 : 5,227.26 = 3,661.54 : x
  2. Step 2: Convert to fraction form
    3,785.47/5,227.26 = 3,661.54/x
  3. Step 3: Cross multiply
    3,785.47x = 5,227.26 × 3,661.54
  4. Step 4: Simplify right side
    3,785.47x = 19,139,821.58
  5. Step 5: Solve for x
    x = 19,139,821.58/3,785.47
  6. Step 6: Final answer
    x = 5,056.13

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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.