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Finding the Fourth Proportional to 4,678, 7,018.02 and 1,391.32

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Solution

The fourth proportional to 4,678, 7,018.02 and 1,391.32 is: 2,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678 : 7,018.02 = 1,391.32 : x
  2. Step 2: Convert to fraction form
    4,678/7,018.02 = 1,391.32/x
  3. Step 3: Cross multiply
    4,678x = 7,018.02 × 1,391.32
  4. Step 4: Simplify right side
    4,678x = 9,764,311.59
  5. Step 5: Solve for x
    x = 9,764,311.59/4,678
  6. Step 6: Final answer
    x = 2,087.28

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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.