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Finding the Fourth Proportional to 5,678.82, 7,830.36 and 3,999.66

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Solution

The fourth proportional to 5,678.82, 7,830.36 and 3,999.66 is: 5,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.82 : 7,830.36 = 3,999.66 : x
  2. Step 2: Convert to fraction form
    5,678.82/7,830.36 = 3,999.66/x
  3. Step 3: Cross multiply
    5,678.82x = 7,830.36 × 3,999.66
  4. Step 4: Simplify right side
    5,678.82x = 31,318,777.68
  5. Step 5: Solve for x
    x = 31,318,777.68/5,678.82
  6. Step 6: Final answer
    x = 5,515.02

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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.