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Finding the Fourth Proportional to 3,858.63, 5,785.36 and 1,775.81

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Solution

The fourth proportional to 3,858.63, 5,785.36 and 1,775.81 is: 2,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.63 : 5,785.36 = 1,775.81 : x
  2. Step 2: Convert to fraction form
    3,858.63/5,785.36 = 1,775.81/x
  3. Step 3: Cross multiply
    3,858.63x = 5,785.36 × 1,775.81
  4. Step 4: Simplify right side
    3,858.63x = 10,273,710.17
  5. Step 5: Solve for x
    x = 10,273,710.17/3,858.63
  6. Step 6: Final answer
    x = 2,662.53

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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.