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Finding the Fourth Proportional to 3,935.16, 5,901.48 and 1,745.82

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Solution

The fourth proportional to 3,935.16, 5,901.48 and 1,745.82 is: 2,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.16 : 5,901.48 = 1,745.82 : x
  2. Step 2: Convert to fraction form
    3,935.16/5,901.48 = 1,745.82/x
  3. Step 3: Cross multiply
    3,935.16x = 5,901.48 × 1,745.82
  4. Step 4: Simplify right side
    3,935.16x = 10,302,921.81
  5. Step 5: Solve for x
    x = 10,302,921.81/3,935.16
  6. Step 6: Final answer
    x = 2,618.17

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Why These Related Problems?

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