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Finding the Fourth Proportional to 3,857.07, 5,785.61 and 935.37

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Solution

The fourth proportional to 3,857.07, 5,785.61 and 935.37 is: 1,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.07 : 5,785.61 = 935.37 : x
  2. Step 2: Convert to fraction form
    3,857.07/5,785.61 = 935.37/x
  3. Step 3: Cross multiply
    3,857.07x = 5,785.61 × 935.37
  4. Step 4: Simplify right side
    3,857.07x = 5,411,681.35
  5. Step 5: Solve for x
    x = 5,411,681.35/3,857.07
  6. Step 6: Final answer
    x = 1,403.06

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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.