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Finding the Fourth Proportional to 3,059.12, 4,223.38 and 2,219

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Solution

The fourth proportional to 3,059.12, 4,223.38 and 2,219 is: 3,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.12 : 4,223.38 = 2,219 : x
  2. Step 2: Convert to fraction form
    3,059.12/4,223.38 = 2,219/x
  3. Step 3: Cross multiply
    3,059.12x = 4,223.38 × 2,219
  4. Step 4: Simplify right side
    3,059.12x = 9,371,680.22
  5. Step 5: Solve for x
    x = 9,371,680.22/3,059.12
  6. Step 6: Final answer
    x = 3,063.52

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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.