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Finding the Fourth Proportional to 3,935.44, 5,896.19 and 3,701.30

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Solution

The fourth proportional to 3,935.44, 5,896.19 and 3,701.30 is: 5,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.44 : 5,896.19 = 3,701.30 : x
  2. Step 2: Convert to fraction form
    3,935.44/5,896.19 = 3,701.30/x
  3. Step 3: Cross multiply
    3,935.44x = 5,896.19 × 3,701.30
  4. Step 4: Simplify right side
    3,935.44x = 21,823,547.82
  5. Step 5: Solve for x
    x = 21,823,547.82/3,935.44
  6. Step 6: Final answer
    x = 5,545.40

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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.