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Finding the Fourth Proportional to 5,161.81, 7,742.72 and 1,464.07

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Solution

The fourth proportional to 5,161.81, 7,742.72 and 1,464.07 is: 2,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.81 : 7,742.72 = 1,464.07 : x
  2. Step 2: Convert to fraction form
    5,161.81/7,742.72 = 1,464.07/x
  3. Step 3: Cross multiply
    5,161.81x = 7,742.72 × 1,464.07
  4. Step 4: Simplify right side
    5,161.81x = 11,335,884.07
  5. Step 5: Solve for x
    x = 11,335,884.07/5,161.81
  6. Step 6: Final answer
    x = 2,196.11

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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.