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Finding the Fourth Proportional to 4,747.85, 7,113.98 and 1,626.15

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Solution

The fourth proportional to 4,747.85, 7,113.98 and 1,626.15 is: 2,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.85 : 7,113.98 = 1,626.15 : x
  2. Step 2: Convert to fraction form
    4,747.85/7,113.98 = 1,626.15/x
  3. Step 3: Cross multiply
    4,747.85x = 7,113.98 × 1,626.15
  4. Step 4: Simplify right side
    4,747.85x = 11,568,420.74
  5. Step 5: Solve for x
    x = 11,568,420.74/4,747.85
  6. Step 6: Final answer
    x = 2,436.56

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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.