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Finding the Fourth Proportional to 4,215.88, 5,819.06 and 2,447.14

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Solution

The fourth proportional to 4,215.88, 5,819.06 and 2,447.14 is: 3,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.88 : 5,819.06 = 2,447.14 : x
  2. Step 2: Convert to fraction form
    4,215.88/5,819.06 = 2,447.14/x
  3. Step 3: Cross multiply
    4,215.88x = 5,819.06 × 2,447.14
  4. Step 4: Simplify right side
    4,215.88x = 14,240,054.49
  5. Step 5: Solve for x
    x = 14,240,054.49/4,215.88
  6. Step 6: Final answer
    x = 3,377.72

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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.