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Finding the Fourth Proportional to 4,967.62, 6,853.34 and 3,200.25

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Solution

The fourth proportional to 4,967.62, 6,853.34 and 3,200.25 is: 4,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.62 : 6,853.34 = 3,200.25 : x
  2. Step 2: Convert to fraction form
    4,967.62/6,853.34 = 3,200.25/x
  3. Step 3: Cross multiply
    4,967.62x = 6,853.34 × 3,200.25
  4. Step 4: Simplify right side
    4,967.62x = 21,932,409.34
  5. Step 5: Solve for x
    x = 21,932,409.34/4,967.62
  6. Step 6: Final answer
    x = 4,415.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.