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Finding the Fourth Proportional to 3,358.25, 5,037.26 and 1,166.93

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Solution

The fourth proportional to 3,358.25, 5,037.26 and 1,166.93 is: 1,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.25 : 5,037.26 = 1,166.93 : x
  2. Step 2: Convert to fraction form
    3,358.25/5,037.26 = 1,166.93/x
  3. Step 3: Cross multiply
    3,358.25x = 5,037.26 × 1,166.93
  4. Step 4: Simplify right side
    3,358.25x = 5,878,107.54
  5. Step 5: Solve for x
    x = 5,878,107.54/3,358.25
  6. Step 6: Final answer
    x = 1,750.35

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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.