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Finding the Fourth Proportional to 4,809.71, 7,210.94 and 3,245.33

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Solution

The fourth proportional to 4,809.71, 7,210.94 and 3,245.33 is: 4,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.71 : 7,210.94 = 3,245.33 : x
  2. Step 2: Convert to fraction form
    4,809.71/7,210.94 = 3,245.33/x
  3. Step 3: Cross multiply
    4,809.71x = 7,210.94 × 3,245.33
  4. Step 4: Simplify right side
    4,809.71x = 23,401,827.63
  5. Step 5: Solve for x
    x = 23,401,827.63/4,809.71
  6. Step 6: Final answer
    x = 4,865.54

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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.