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Finding the Fourth Proportional to 3,959.42, 5,464.13 and 2,366.01

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Solution

The fourth proportional to 3,959.42, 5,464.13 and 2,366.01 is: 3,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.42 : 5,464.13 = 2,366.01 : x
  2. Step 2: Convert to fraction form
    3,959.42/5,464.13 = 2,366.01/x
  3. Step 3: Cross multiply
    3,959.42x = 5,464.13 × 2,366.01
  4. Step 4: Simplify right side
    3,959.42x = 12,928,174.39
  5. Step 5: Solve for x
    x = 12,928,174.39/3,959.42
  6. Step 6: Final answer
    x = 3,265.17

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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.