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Finding the Fourth Proportional to 5,266.58, 7,267.92 and 2,909.12

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Solution

The fourth proportional to 5,266.58, 7,267.92 and 2,909.12 is: 4,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.58 : 7,267.92 = 2,909.12 : x
  2. Step 2: Convert to fraction form
    5,266.58/7,267.92 = 2,909.12/x
  3. Step 3: Cross multiply
    5,266.58x = 7,267.92 × 2,909.12
  4. Step 4: Simplify right side
    5,266.58x = 21,143,251.43
  5. Step 5: Solve for x
    x = 21,143,251.43/5,266.58
  6. Step 6: Final answer
    x = 4,014.61

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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.