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Finding the Fourth Proportional to 3,504.78, 4,834.89 and 2,324.34

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Solution

The fourth proportional to 3,504.78, 4,834.89 and 2,324.34 is: 3,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.78 : 4,834.89 = 2,324.34 : x
  2. Step 2: Convert to fraction form
    3,504.78/4,834.89 = 2,324.34/x
  3. Step 3: Cross multiply
    3,504.78x = 4,834.89 × 2,324.34
  4. Step 4: Simplify right side
    3,504.78x = 11,237,928.22
  5. Step 5: Solve for x
    x = 11,237,928.22/3,504.78
  6. Step 6: Final answer
    x = 3,206.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.