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Finding the Fourth Proportional to 3,357.86, 5,037.46 and 1,166.67

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Solution

The fourth proportional to 3,357.86, 5,037.46 and 1,166.67 is: 1,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.86 : 5,037.46 = 1,166.67 : x
  2. Step 2: Convert to fraction form
    3,357.86/5,037.46 = 1,166.67/x
  3. Step 3: Cross multiply
    3,357.86x = 5,037.46 × 1,166.67
  4. Step 4: Simplify right side
    3,357.86x = 5,877,050.54
  5. Step 5: Solve for x
    x = 5,877,050.54/3,357.86
  6. Step 6: Final answer
    x = 1,750.24

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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.