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Finding the Fourth Proportional to 5,826.64, 8,040.78 and 3,468.76

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Solution

The fourth proportional to 5,826.64, 8,040.78 and 3,468.76 is: 4,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.64 : 8,040.78 = 3,468.76 : x
  2. Step 2: Convert to fraction form
    5,826.64/8,040.78 = 3,468.76/x
  3. Step 3: Cross multiply
    5,826.64x = 8,040.78 × 3,468.76
  4. Step 4: Simplify right side
    5,826.64x = 27,891,536.03
  5. Step 5: Solve for x
    x = 27,891,536.03/5,826.64
  6. Step 6: Final answer
    x = 4,786.90

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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.