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Finding the Fourth Proportional to 4,241.34, 5,853.06 and 2,378.34

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Solution

The fourth proportional to 4,241.34, 5,853.06 and 2,378.34 is: 3,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.34 : 5,853.06 = 2,378.34 : x
  2. Step 2: Convert to fraction form
    4,241.34/5,853.06 = 2,378.34/x
  3. Step 3: Cross multiply
    4,241.34x = 5,853.06 × 2,378.34
  4. Step 4: Simplify right side
    4,241.34x = 13,920,566.72
  5. Step 5: Solve for x
    x = 13,920,566.72/4,241.34
  6. Step 6: Final answer
    x = 3,282.12

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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.