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Finding the Fourth Proportional to 3,751.67, 5,626.51 and 1,118.47

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Solution

The fourth proportional to 3,751.67, 5,626.51 and 1,118.47 is: 1,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.67 : 5,626.51 = 1,118.47 : x
  2. Step 2: Convert to fraction form
    3,751.67/5,626.51 = 1,118.47/x
  3. Step 3: Cross multiply
    3,751.67x = 5,626.51 × 1,118.47
  4. Step 4: Simplify right side
    3,751.67x = 6,293,082.64
  5. Step 5: Solve for x
    x = 6,293,082.64/3,751.67
  6. Step 6: Final answer
    x = 1,677.41

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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.