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Finding the Fourth Proportional to 4,367.84, 6,027.64 and 2,378.41

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Solution

The fourth proportional to 4,367.84, 6,027.64 and 2,378.41 is: 3,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.84 : 6,027.64 = 2,378.41 : x
  2. Step 2: Convert to fraction form
    4,367.84/6,027.64 = 2,378.41/x
  3. Step 3: Cross multiply
    4,367.84x = 6,027.64 × 2,378.41
  4. Step 4: Simplify right side
    4,367.84x = 14,336,199.25
  5. Step 5: Solve for x
    x = 14,336,199.25/4,367.84
  6. Step 6: Final answer
    x = 3,282.22

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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.