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Finding the Fourth Proportional to 5,781.78, 8,675.10 and 4,027.32

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Solution

The fourth proportional to 5,781.78, 8,675.10 and 4,027.32 is: 6,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.78 : 8,675.10 = 4,027.32 : x
  2. Step 2: Convert to fraction form
    5,781.78/8,675.10 = 4,027.32/x
  3. Step 3: Cross multiply
    5,781.78x = 8,675.10 × 4,027.32
  4. Step 4: Simplify right side
    5,781.78x = 34,937,403.73
  5. Step 5: Solve for x
    x = 34,937,403.73/5,781.78
  6. Step 6: Final answer
    x = 6,042.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.