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Finding the Fourth Proportional to 3,967.62, 5,464.21 and 3,881.53

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Solution

The fourth proportional to 3,967.62, 5,464.21 and 3,881.53 is: 5,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.62 : 5,464.21 = 3,881.53 : x
  2. Step 2: Convert to fraction form
    3,967.62/5,464.21 = 3,881.53/x
  3. Step 3: Cross multiply
    3,967.62x = 5,464.21 × 3,881.53
  4. Step 4: Simplify right side
    3,967.62x = 21,209,495.04
  5. Step 5: Solve for x
    x = 21,209,495.04/3,967.62
  6. Step 6: Final answer
    x = 5,345.65

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Why These Related Problems?

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