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Finding the Fourth Proportional to 5,162.64, 7,744 and 1,267.08

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Solution

The fourth proportional to 5,162.64, 7,744 and 1,267.08 is: 1,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.64 : 7,744 = 1,267.08 : x
  2. Step 2: Convert to fraction form
    5,162.64/7,744 = 1,267.08/x
  3. Step 3: Cross multiply
    5,162.64x = 7,744 × 1,267.08
  4. Step 4: Simplify right side
    5,162.64x = 9,812,267.52
  5. Step 5: Solve for x
    x = 9,812,267.52/5,162.64
  6. Step 6: Final answer
    x = 1,900.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.