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Finding the Fourth Proportional to 3.84, 5.76 and 3.40

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Solution

The fourth proportional to 3.84, 5.76 and 3.40 is: 5.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.84 : 5.76 = 3.40 : x
  2. Step 2: Convert to fraction form
    3.84/5.76 = 3.40/x
  3. Step 3: Cross multiply
    3.84x = 5.76 × 3.40
  4. Step 4: Simplify right side
    3.84x = 19.58
  5. Step 5: Solve for x
    x = 19.58/3.84
  6. Step 6: Final answer
    x = 5.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.