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Finding the Fourth Proportional to 3,378.42, 4,665.44 and 3,194.35

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Solution

The fourth proportional to 3,378.42, 4,665.44 and 3,194.35 is: 4,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.42 : 4,665.44 = 3,194.35 : x
  2. Step 2: Convert to fraction form
    3,378.42/4,665.44 = 3,194.35/x
  3. Step 3: Cross multiply
    3,378.42x = 4,665.44 × 3,194.35
  4. Step 4: Simplify right side
    3,378.42x = 14,903,048.26
  5. Step 5: Solve for x
    x = 14,903,048.26/3,378.42
  6. Step 6: Final answer
    x = 4,411.25

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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.