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Finding the Fourth Proportional to 6,239, 9,351.21 and 3,464.35

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Solution

The fourth proportional to 6,239, 9,351.21 and 3,464.35 is: 5,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239 : 9,351.21 = 3,464.35 : x
  2. Step 2: Convert to fraction form
    6,239/9,351.21 = 3,464.35/x
  3. Step 3: Cross multiply
    6,239x = 9,351.21 × 3,464.35
  4. Step 4: Simplify right side
    6,239x = 32,395,864.36
  5. Step 5: Solve for x
    x = 32,395,864.36/6,239
  6. Step 6: Final answer
    x = 5,192.48

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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.