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Finding the Fourth Proportional to 5,643.84, 8,467.44 and 2,722.32

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Solution

The fourth proportional to 5,643.84, 8,467.44 and 2,722.32 is: 4,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.84 : 8,467.44 = 2,722.32 : x
  2. Step 2: Convert to fraction form
    5,643.84/8,467.44 = 2,722.32/x
  3. Step 3: Cross multiply
    5,643.84x = 8,467.44 × 2,722.32
  4. Step 4: Simplify right side
    5,643.84x = 23,051,081.26
  5. Step 5: Solve for x
    x = 23,051,081.26/5,643.84
  6. Step 6: Final answer
    x = 4,084.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.