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Finding the Fourth Proportional to 4,496.82, 6,705.59 and 4,185.15

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Solution

The fourth proportional to 4,496.82, 6,705.59 and 4,185.15 is: 6,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.82 : 6,705.59 = 4,185.15 : x
  2. Step 2: Convert to fraction form
    4,496.82/6,705.59 = 4,185.15/x
  3. Step 3: Cross multiply
    4,496.82x = 6,705.59 × 4,185.15
  4. Step 4: Simplify right side
    4,496.82x = 28,063,879.06
  5. Step 5: Solve for x
    x = 28,063,879.06/4,496.82
  6. Step 6: Final answer
    x = 6,240.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.