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Finding the Fourth Proportional to 3,970.78, 5,467.13 and 3,023.53

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Solution

The fourth proportional to 3,970.78, 5,467.13 and 3,023.53 is: 4,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.78 : 5,467.13 = 3,023.53 : x
  2. Step 2: Convert to fraction form
    3,970.78/5,467.13 = 3,023.53/x
  3. Step 3: Cross multiply
    3,970.78x = 5,467.13 × 3,023.53
  4. Step 4: Simplify right side
    3,970.78x = 16,530,045.24
  5. Step 5: Solve for x
    x = 16,530,045.24/3,970.78
  6. Step 6: Final answer
    x = 4,162.92

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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.