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Finding the Fourth Proportional to 5,936.49, 8,192.31 and 3,547.53

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Solution

The fourth proportional to 5,936.49, 8,192.31 and 3,547.53 is: 4,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.49 : 8,192.31 = 3,547.53 : x
  2. Step 2: Convert to fraction form
    5,936.49/8,192.31 = 3,547.53/x
  3. Step 3: Cross multiply
    5,936.49x = 8,192.31 × 3,547.53
  4. Step 4: Simplify right side
    5,936.49x = 29,062,465.49
  5. Step 5: Solve for x
    x = 29,062,465.49/5,936.49
  6. Step 6: Final answer
    x = 4,895.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.