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Finding the Fourth Proportional to 4,624.86, 6,915.42 and 3,119.49

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Solution

The fourth proportional to 4,624.86, 6,915.42 and 3,119.49 is: 4,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.86 : 6,915.42 = 3,119.49 : x
  2. Step 2: Convert to fraction form
    4,624.86/6,915.42 = 3,119.49/x
  3. Step 3: Cross multiply
    4,624.86x = 6,915.42 × 3,119.49
  4. Step 4: Simplify right side
    4,624.86x = 21,572,583.54
  5. Step 5: Solve for x
    x = 21,572,583.54/4,624.86
  6. Step 6: Final answer
    x = 4,664.48

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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.