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Finding the Fourth Proportional to 4,952.57, 6,832.88 and 2,826.57

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Solution

The fourth proportional to 4,952.57, 6,832.88 and 2,826.57 is: 3,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.57 : 6,832.88 = 2,826.57 : x
  2. Step 2: Convert to fraction form
    4,952.57/6,832.88 = 2,826.57/x
  3. Step 3: Cross multiply
    4,952.57x = 6,832.88 × 2,826.57
  4. Step 4: Simplify right side
    4,952.57x = 19,313,624.44
  5. Step 5: Solve for x
    x = 19,313,624.44/4,952.57
  6. Step 6: Final answer
    x = 3,899.72

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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.