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Finding the Fourth Proportional to 6,478.40, 9,728.40 and 3,558.80

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Solution

The fourth proportional to 6,478.40, 9,728.40 and 3,558.80 is: 5,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.40 : 9,728.40 = 3,558.80 : x
  2. Step 2: Convert to fraction form
    6,478.40/9,728.40 = 3,558.80/x
  3. Step 3: Cross multiply
    6,478.40x = 9,728.40 × 3,558.80
  4. Step 4: Simplify right side
    6,478.40x = 34,621,429.92
  5. Step 5: Solve for x
    x = 34,621,429.92/6,478.40
  6. Step 6: Final answer
    x = 5,344.13

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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.