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Finding the Fourth Proportional to 3,357.62, 5,036.43 and 1,166.35

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Solution

The fourth proportional to 3,357.62, 5,036.43 and 1,166.35 is: 1,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.62 : 5,036.43 = 1,166.35 : x
  2. Step 2: Convert to fraction form
    3,357.62/5,036.43 = 1,166.35/x
  3. Step 3: Cross multiply
    3,357.62x = 5,036.43 × 1,166.35
  4. Step 4: Simplify right side
    3,357.62x = 5,874,240.13
  5. Step 5: Solve for x
    x = 5,874,240.13/3,357.62
  6. Step 6: Final answer
    x = 1,749.53

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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.