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Finding the Fourth Proportional to 4,215.98, 5,815.62 and 2,641.34

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Solution

The fourth proportional to 4,215.98, 5,815.62 and 2,641.34 is: 3,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.98 : 5,815.62 = 2,641.34 : x
  2. Step 2: Convert to fraction form
    4,215.98/5,815.62 = 2,641.34/x
  3. Step 3: Cross multiply
    4,215.98x = 5,815.62 × 2,641.34
  4. Step 4: Simplify right side
    4,215.98x = 15,361,029.73
  5. Step 5: Solve for x
    x = 15,361,029.73/4,215.98
  6. Step 6: Final answer
    x = 3,643.53

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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.