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Finding the Fourth Proportional to 5,267.67, 7,266.83 and 3,497.01

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Solution

The fourth proportional to 5,267.67, 7,266.83 and 3,497.01 is: 4,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.67 : 7,266.83 = 3,497.01 : x
  2. Step 2: Convert to fraction form
    5,267.67/7,266.83 = 3,497.01/x
  3. Step 3: Cross multiply
    5,267.67x = 7,266.83 × 3,497.01
  4. Step 4: Simplify right side
    5,267.67x = 25,412,159.69
  5. Step 5: Solve for x
    x = 25,412,159.69/5,267.67
  6. Step 6: Final answer
    x = 4,824.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.