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Finding the Fourth Proportional to 4,116.82, 5,678.90 and 2,524.24

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Solution

The fourth proportional to 4,116.82, 5,678.90 and 2,524.24 is: 3,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.82 : 5,678.90 = 2,524.24 : x
  2. Step 2: Convert to fraction form
    4,116.82/5,678.90 = 2,524.24/x
  3. Step 3: Cross multiply
    4,116.82x = 5,678.90 × 2,524.24
  4. Step 4: Simplify right side
    4,116.82x = 14,334,906.54
  5. Step 5: Solve for x
    x = 14,334,906.54/4,116.82
  6. Step 6: Final answer
    x = 3,482.03

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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.