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Finding the Fourth Proportional to 3,703.67, 5,555.10 and 1,106

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Solution

The fourth proportional to 3,703.67, 5,555.10 and 1,106 is: 1,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.67 : 5,555.10 = 1,106 : x
  2. Step 2: Convert to fraction form
    3,703.67/5,555.10 = 1,106/x
  3. Step 3: Cross multiply
    3,703.67x = 5,555.10 × 1,106
  4. Step 4: Simplify right side
    3,703.67x = 6,143,940.60
  5. Step 5: Solve for x
    x = 6,143,940.60/3,703.67
  6. Step 6: Final answer
    x = 1,658.88

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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.