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Finding the Fourth Proportional to 5,778.56, 8,670.12 and 3,006.97

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Solution

The fourth proportional to 5,778.56, 8,670.12 and 3,006.97 is: 4,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.56 : 8,670.12 = 3,006.97 : x
  2. Step 2: Convert to fraction form
    5,778.56/8,670.12 = 3,006.97/x
  3. Step 3: Cross multiply
    5,778.56x = 8,670.12 × 3,006.97
  4. Step 4: Simplify right side
    5,778.56x = 26,070,790.74
  5. Step 5: Solve for x
    x = 26,070,790.74/5,778.56
  6. Step 6: Final answer
    x = 4,511.64

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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.