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Finding the Fourth Proportional to 4,239, 6,355.26 and 2,288.52

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Solution

The fourth proportional to 4,239, 6,355.26 and 2,288.52 is: 3,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239 : 6,355.26 = 2,288.52 : x
  2. Step 2: Convert to fraction form
    4,239/6,355.26 = 2,288.52/x
  3. Step 3: Cross multiply
    4,239x = 6,355.26 × 2,288.52
  4. Step 4: Simplify right side
    4,239x = 14,544,139.62
  5. Step 5: Solve for x
    x = 14,544,139.62/4,239
  6. Step 6: Final answer
    x = 3,431.03

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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.