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Finding the Fourth Proportional to 3,505.39, 5,257.53 and 1,165.20

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Solution

The fourth proportional to 3,505.39, 5,257.53 and 1,165.20 is: 1,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.39 : 5,257.53 = 1,165.20 : x
  2. Step 2: Convert to fraction form
    3,505.39/5,257.53 = 1,165.20/x
  3. Step 3: Cross multiply
    3,505.39x = 5,257.53 × 1,165.20
  4. Step 4: Simplify right side
    3,505.39x = 6,126,071.04
  5. Step 5: Solve for x
    x = 6,126,071.04/3,505.39
  6. Step 6: Final answer
    x = 1,747.61

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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.