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Finding the Fourth Proportional to 6,508.14, 8,978.91 and 3,989.34

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Solution

The fourth proportional to 6,508.14, 8,978.91 and 3,989.34 is: 5,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.14 : 8,978.91 = 3,989.34 : x
  2. Step 2: Convert to fraction form
    6,508.14/8,978.91 = 3,989.34/x
  3. Step 3: Cross multiply
    6,508.14x = 8,978.91 × 3,989.34
  4. Step 4: Simplify right side
    6,508.14x = 35,819,924.82
  5. Step 5: Solve for x
    x = 35,819,924.82/6,508.14
  6. Step 6: Final answer
    x = 5,503.87

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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.