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Finding the Fourth Proportional to 4,664.54, 6,990.22 and 2,585.50

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Solution

The fourth proportional to 4,664.54, 6,990.22 and 2,585.50 is: 3,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.54 : 6,990.22 = 2,585.50 : x
  2. Step 2: Convert to fraction form
    4,664.54/6,990.22 = 2,585.50/x
  3. Step 3: Cross multiply
    4,664.54x = 6,990.22 × 2,585.50
  4. Step 4: Simplify right side
    4,664.54x = 18,073,213.81
  5. Step 5: Solve for x
    x = 18,073,213.81/4,664.54
  6. Step 6: Final answer
    x = 3,874.60

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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.