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Finding the Fourth Proportional to 4,071.75, 5,619.02 and 2,208.75

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Solution

The fourth proportional to 4,071.75, 5,619.02 and 2,208.75 is: 3,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.75 : 5,619.02 = 2,208.75 : x
  2. Step 2: Convert to fraction form
    4,071.75/5,619.02 = 2,208.75/x
  3. Step 3: Cross multiply
    4,071.75x = 5,619.02 × 2,208.75
  4. Step 4: Simplify right side
    4,071.75x = 12,410,999.38
  5. Step 5: Solve for x
    x = 12,410,999.38/4,071.75
  6. Step 6: Final answer
    x = 3,048.08

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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.