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Finding the Fourth Proportional to 5,119.16, 7,673.94 and 4,662.65

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Solution

The fourth proportional to 5,119.16, 7,673.94 and 4,662.65 is: 6,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.16 : 7,673.94 = 4,662.65 : x
  2. Step 2: Convert to fraction form
    5,119.16/7,673.94 = 4,662.65/x
  3. Step 3: Cross multiply
    5,119.16x = 7,673.94 × 4,662.65
  4. Step 4: Simplify right side
    5,119.16x = 35,780,915.53
  5. Step 5: Solve for x
    x = 35,780,915.53/5,119.16
  6. Step 6: Final answer
    x = 6,989.61

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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.