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Finding the Fourth Proportional to 4.35, 5.98 and 3.84

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Solution

The fourth proportional to 4.35, 5.98 and 3.84 is: 5.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.35 : 5.98 = 3.84 : x
  2. Step 2: Convert to fraction form
    4.35/5.98 = 3.84/x
  3. Step 3: Cross multiply
    4.35x = 5.98 × 3.84
  4. Step 4: Simplify right side
    4.35x = 22.96
  5. Step 5: Solve for x
    x = 22.96/4.35
  6. Step 6: Final answer
    x = 5.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.