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Finding the Fourth Proportional to 5,162.98, 7,744.45 and 1,267.34

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Solution

The fourth proportional to 5,162.98, 7,744.45 and 1,267.34 is: 1,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.98 : 7,744.45 = 1,267.34 : x
  2. Step 2: Convert to fraction form
    5,162.98/7,744.45 = 1,267.34/x
  3. Step 3: Cross multiply
    5,162.98x = 7,744.45 × 1,267.34
  4. Step 4: Simplify right side
    5,162.98x = 9,814,851.26
  5. Step 5: Solve for x
    x = 9,814,851.26/5,162.98
  6. Step 6: Final answer
    x = 1,901.01

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