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Finding the Fourth Proportional to 3,675.12, 5,071.80 and 2,019.12

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Solution

The fourth proportional to 3,675.12, 5,071.80 and 2,019.12 is: 2,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.12 : 5,071.80 = 2,019.12 : x
  2. Step 2: Convert to fraction form
    3,675.12/5,071.80 = 2,019.12/x
  3. Step 3: Cross multiply
    3,675.12x = 5,071.80 × 2,019.12
  4. Step 4: Simplify right side
    3,675.12x = 10,240,572.82
  5. Step 5: Solve for x
    x = 10,240,572.82/3,675.12
  6. Step 6: Final answer
    x = 2,786.46

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