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Finding the Fourth Proportional to 4,473.36, 6,702.46 and 2,738.36

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Solution

The fourth proportional to 4,473.36, 6,702.46 and 2,738.36 is: 4,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.36 : 6,702.46 = 2,738.36 : x
  2. Step 2: Convert to fraction form
    4,473.36/6,702.46 = 2,738.36/x
  3. Step 3: Cross multiply
    4,473.36x = 6,702.46 × 2,738.36
  4. Step 4: Simplify right side
    4,473.36x = 18,353,748.37
  5. Step 5: Solve for x
    x = 18,353,748.37/4,473.36
  6. Step 6: Final answer
    x = 4,102.90

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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.