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Finding the Fourth Proportional to 4,585.44, 6,880.16 and 4,388.64

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Solution

The fourth proportional to 4,585.44, 6,880.16 and 4,388.64 is: 6,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.44 : 6,880.16 = 4,388.64 : x
  2. Step 2: Convert to fraction form
    4,585.44/6,880.16 = 4,388.64/x
  3. Step 3: Cross multiply
    4,585.44x = 6,880.16 × 4,388.64
  4. Step 4: Simplify right side
    4,585.44x = 30,194,545.38
  5. Step 5: Solve for x
    x = 30,194,545.38/4,585.44
  6. Step 6: Final answer
    x = 6,584.87

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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.