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Finding the Fourth Proportional to 4,321.78, 5,964.36 and 2,433.54

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Solution

The fourth proportional to 4,321.78, 5,964.36 and 2,433.54 is: 3,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.78 : 5,964.36 = 2,433.54 : x
  2. Step 2: Convert to fraction form
    4,321.78/5,964.36 = 2,433.54/x
  3. Step 3: Cross multiply
    4,321.78x = 5,964.36 × 2,433.54
  4. Step 4: Simplify right side
    4,321.78x = 14,514,508.63
  5. Step 5: Solve for x
    x = 14,514,508.63/4,321.78
  6. Step 6: Final answer
    x = 3,358.46

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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.