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Finding the Fourth Proportional to 3,313.50, 4,970.72 and 1,233.33

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Solution

The fourth proportional to 3,313.50, 4,970.72 and 1,233.33 is: 1,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.50 : 4,970.72 = 1,233.33 : x
  2. Step 2: Convert to fraction form
    3,313.50/4,970.72 = 1,233.33/x
  3. Step 3: Cross multiply
    3,313.50x = 4,970.72 × 1,233.33
  4. Step 4: Simplify right side
    3,313.50x = 6,130,516.33
  5. Step 5: Solve for x
    x = 6,130,516.33/3,313.50
  6. Step 6: Final answer
    x = 1,850.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.