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Finding the Fourth Proportional to 6,508.82, 8,980.57 and 4,118.61

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Solution

The fourth proportional to 6,508.82, 8,980.57 and 4,118.61 is: 5,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.82 : 8,980.57 = 4,118.61 : x
  2. Step 2: Convert to fraction form
    6,508.82/8,980.57 = 4,118.61/x
  3. Step 3: Cross multiply
    6,508.82x = 8,980.57 × 4,118.61
  4. Step 4: Simplify right side
    6,508.82x = 36,987,504.23
  5. Step 5: Solve for x
    x = 36,987,504.23/6,508.82
  6. Step 6: Final answer
    x = 5,682.67

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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.