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Finding the Fourth Proportional to 4,012.45, 5,537.07 and 2,220

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Solution

The fourth proportional to 4,012.45, 5,537.07 and 2,220 is: 3,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.45 : 5,537.07 = 2,220 : x
  2. Step 2: Convert to fraction form
    4,012.45/5,537.07 = 2,220/x
  3. Step 3: Cross multiply
    4,012.45x = 5,537.07 × 2,220
  4. Step 4: Simplify right side
    4,012.45x = 12,292,284.30
  5. Step 5: Solve for x
    x = 12,292,284.30/4,012.45
  6. Step 6: Final answer
    x = 3,063.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.