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Finding the Fourth Proportional to 3,964.07, 5,466.84 and 2,472.12

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Solution

The fourth proportional to 3,964.07, 5,466.84 and 2,472.12 is: 3,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.07 : 5,466.84 = 2,472.12 : x
  2. Step 2: Convert to fraction form
    3,964.07/5,466.84 = 2,472.12/x
  3. Step 3: Cross multiply
    3,964.07x = 5,466.84 × 2,472.12
  4. Step 4: Simplify right side
    3,964.07x = 13,514,684.50
  5. Step 5: Solve for x
    x = 13,514,684.50/3,964.07
  6. Step 6: Final answer
    x = 3,409.30

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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.