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Finding the Fourth Proportional to 5,161.84, 7,742.79 and 1,266.24

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Solution

The fourth proportional to 5,161.84, 7,742.79 and 1,266.24 is: 1,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.84 : 7,742.79 = 1,266.24 : x
  2. Step 2: Convert to fraction form
    5,161.84/7,742.79 = 1,266.24/x
  3. Step 3: Cross multiply
    5,161.84x = 7,742.79 × 1,266.24
  4. Step 4: Simplify right side
    5,161.84x = 9,804,224.08
  5. Step 5: Solve for x
    x = 9,804,224.08/5,161.84
  6. Step 6: Final answer
    x = 1,899.37

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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.