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Finding the Fourth Proportional to 4,474.40, 6,711.60 and 4,150.40

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Solution

The fourth proportional to 4,474.40, 6,711.60 and 4,150.40 is: 6,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.40 : 6,711.60 = 4,150.40 : x
  2. Step 2: Convert to fraction form
    4,474.40/6,711.60 = 4,150.40/x
  3. Step 3: Cross multiply
    4,474.40x = 6,711.60 × 4,150.40
  4. Step 4: Simplify right side
    4,474.40x = 27,855,824.64
  5. Step 5: Solve for x
    x = 27,855,824.64/4,474.40
  6. Step 6: Final answer
    x = 6,225.60

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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.