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Finding the Fourth Proportional to 4,399.46, 6,599.81 and 1,478.60

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Solution

The fourth proportional to 4,399.46, 6,599.81 and 1,478.60 is: 2,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.46 : 6,599.81 = 1,478.60 : x
  2. Step 2: Convert to fraction form
    4,399.46/6,599.81 = 1,478.60/x
  3. Step 3: Cross multiply
    4,399.46x = 6,599.81 × 1,478.60
  4. Step 4: Simplify right side
    4,399.46x = 9,758,479.07
  5. Step 5: Solve for x
    x = 9,758,479.07/4,399.46
  6. Step 6: Final answer
    x = 2,218.11

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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.