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Finding the Fourth Proportional to 5,161.84, 7,742.66 and 3,496.75

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Solution

The fourth proportional to 5,161.84, 7,742.66 and 3,496.75 is: 5,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.84 : 7,742.66 = 3,496.75 : x
  2. Step 2: Convert to fraction form
    5,161.84/7,742.66 = 3,496.75/x
  3. Step 3: Cross multiply
    5,161.84x = 7,742.66 × 3,496.75
  4. Step 4: Simplify right side
    5,161.84x = 27,074,109.51
  5. Step 5: Solve for x
    x = 27,074,109.51/5,161.84
  6. Step 6: Final answer
    x = 5,245.05

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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.