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Finding the Fourth Proportional to 5,670.88, 7,826.84 and 4,242.44

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Solution

The fourth proportional to 5,670.88, 7,826.84 and 4,242.44 is: 5,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.88 : 7,826.84 = 4,242.44 : x
  2. Step 2: Convert to fraction form
    5,670.88/7,826.84 = 4,242.44/x
  3. Step 3: Cross multiply
    5,670.88x = 7,826.84 × 4,242.44
  4. Step 4: Simplify right side
    5,670.88x = 33,204,899.09
  5. Step 5: Solve for x
    x = 33,204,899.09/5,670.88
  6. Step 6: Final answer
    x = 5,855.33

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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.