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Finding the Fourth Proportional to 4,002.56, 5,525.56 and 2,512.68

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Solution

The fourth proportional to 4,002.56, 5,525.56 and 2,512.68 is: 3,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.56 : 5,525.56 = 2,512.68 : x
  2. Step 2: Convert to fraction form
    4,002.56/5,525.56 = 2,512.68/x
  3. Step 3: Cross multiply
    4,002.56x = 5,525.56 × 2,512.68
  4. Step 4: Simplify right side
    4,002.56x = 13,883,964.10
  5. Step 5: Solve for x
    x = 13,883,964.10/4,002.56
  6. Step 6: Final answer
    x = 3,468.77

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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.