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Finding the Fourth Proportional to 3,504.93, 5,257.38 and 1,165.11

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Solution

The fourth proportional to 3,504.93, 5,257.38 and 1,165.11 is: 1,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.93 : 5,257.38 = 1,165.11 : x
  2. Step 2: Convert to fraction form
    3,504.93/5,257.38 = 1,165.11/x
  3. Step 3: Cross multiply
    3,504.93x = 5,257.38 × 1,165.11
  4. Step 4: Simplify right side
    3,504.93x = 6,125,426.01
  5. Step 5: Solve for x
    x = 6,125,426.01/3,504.93
  6. Step 6: Final answer
    x = 1,747.66

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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.