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Finding the Fourth Proportional to 3,357.50, 5,036.26 and 1,166.23

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Solution

The fourth proportional to 3,357.50, 5,036.26 and 1,166.23 is: 1,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.50 : 5,036.26 = 1,166.23 : x
  2. Step 2: Convert to fraction form
    3,357.50/5,036.26 = 1,166.23/x
  3. Step 3: Cross multiply
    3,357.50x = 5,036.26 × 1,166.23
  4. Step 4: Simplify right side
    3,357.50x = 5,873,443.07
  5. Step 5: Solve for x
    x = 5,873,443.07/3,357.50
  6. Step 6: Final answer
    x = 1,749.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.