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Finding the Fourth Proportional to 4,399.40, 6,599.70 and 1,478.54

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Solution

The fourth proportional to 4,399.40, 6,599.70 and 1,478.54 is: 2,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.40 : 6,599.70 = 1,478.54 : x
  2. Step 2: Convert to fraction form
    4,399.40/6,599.70 = 1,478.54/x
  3. Step 3: Cross multiply
    4,399.40x = 6,599.70 × 1,478.54
  4. Step 4: Simplify right side
    4,399.40x = 9,757,887.44
  5. Step 5: Solve for x
    x = 9,757,887.44/4,399.40
  6. Step 6: Final answer
    x = 2,218.01

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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.