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Finding the Fourth Proportional to 6,558.40, 9,840.40 and 3,440.80

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Solution

The fourth proportional to 6,558.40, 9,840.40 and 3,440.80 is: 5,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.40 : 9,840.40 = 3,440.80 : x
  2. Step 2: Convert to fraction form
    6,558.40/9,840.40 = 3,440.80/x
  3. Step 3: Cross multiply
    6,558.40x = 9,840.40 × 3,440.80
  4. Step 4: Simplify right side
    6,558.40x = 33,858,848.32
  5. Step 5: Solve for x
    x = 33,858,848.32/6,558.40
  6. Step 6: Final answer
    x = 5,162.67

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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.