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Finding the Fourth Proportional to 4,967.40, 6,850.44 and 3,376.44

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Solution

The fourth proportional to 4,967.40, 6,850.44 and 3,376.44 is: 4,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.40 : 6,850.44 = 3,376.44 : x
  2. Step 2: Convert to fraction form
    4,967.40/6,850.44 = 3,376.44/x
  3. Step 3: Cross multiply
    4,967.40x = 6,850.44 × 3,376.44
  4. Step 4: Simplify right side
    4,967.40x = 23,130,099.63
  5. Step 5: Solve for x
    x = 23,130,099.63/4,967.40
  6. Step 6: Final answer
    x = 4,656.38

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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.