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Finding the Fourth Proportional to 3,785.37, 5,673.12 and 1,934.94

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Solution

The fourth proportional to 3,785.37, 5,673.12 and 1,934.94 is: 2,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.37 : 5,673.12 = 1,934.94 : x
  2. Step 2: Convert to fraction form
    3,785.37/5,673.12 = 1,934.94/x
  3. Step 3: Cross multiply
    3,785.37x = 5,673.12 × 1,934.94
  4. Step 4: Simplify right side
    3,785.37x = 10,977,146.81
  5. Step 5: Solve for x
    x = 10,977,146.81/3,785.37
  6. Step 6: Final answer
    x = 2,899.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.