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Finding the Fourth Proportional to 3,357.58, 5,036.43 and 1,166.38

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Solution

The fourth proportional to 3,357.58, 5,036.43 and 1,166.38 is: 1,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.58 : 5,036.43 = 1,166.38 : x
  2. Step 2: Convert to fraction form
    3,357.58/5,036.43 = 1,166.38/x
  3. Step 3: Cross multiply
    3,357.58x = 5,036.43 × 1,166.38
  4. Step 4: Simplify right side
    3,357.58x = 5,874,391.22
  5. Step 5: Solve for x
    x = 5,874,391.22/3,357.58
  6. Step 6: Final answer
    x = 1,749.59

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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.