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Finding the Fourth Proportional to 4,846.74, 7,270.10 and 3,388.74

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Solution

The fourth proportional to 4,846.74, 7,270.10 and 3,388.74 is: 5,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.74 : 7,270.10 = 3,388.74 : x
  2. Step 2: Convert to fraction form
    4,846.74/7,270.10 = 3,388.74/x
  3. Step 3: Cross multiply
    4,846.74x = 7,270.10 × 3,388.74
  4. Step 4: Simplify right side
    4,846.74x = 24,636,478.67
  5. Step 5: Solve for x
    x = 24,636,478.67/4,846.74
  6. Step 6: Final answer
    x = 5,083.10

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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.