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Finding the Fourth Proportional to 3,840, 5,299.44 and 2,184

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Solution

The fourth proportional to 3,840, 5,299.44 and 2,184 is: 3,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 5,299.44 = 2,184 : x
  2. Step 2: Convert to fraction form
    3,840/5,299.44 = 2,184/x
  3. Step 3: Cross multiply
    3,840x = 5,299.44 × 2,184
  4. Step 4: Simplify right side
    3,840x = 11,573,976.96
  5. Step 5: Solve for x
    x = 11,573,976.96/3,840
  6. Step 6: Final answer
    x = 3,014.06

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Why These Related Problems?

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