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Finding the Fourth Proportional to 3,703.85, 5,556.89 and 1,106.79

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Solution

The fourth proportional to 3,703.85, 5,556.89 and 1,106.79 is: 1,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.85 : 5,556.89 = 1,106.79 : x
  2. Step 2: Convert to fraction form
    3,703.85/5,556.89 = 1,106.79/x
  3. Step 3: Cross multiply
    3,703.85x = 5,556.89 × 1,106.79
  4. Step 4: Simplify right side
    3,703.85x = 6,150,310.28
  5. Step 5: Solve for x
    x = 6,150,310.28/3,703.85
  6. Step 6: Final answer
    x = 1,660.52

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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.