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Finding the Fourth Proportional to 3.91, 5.84 and 3.15

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Solution

The fourth proportional to 3.91, 5.84 and 3.15 is: 4.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.91 : 5.84 = 3.15 : x
  2. Step 2: Convert to fraction form
    3.91/5.84 = 3.15/x
  3. Step 3: Cross multiply
    3.91x = 5.84 × 3.15
  4. Step 4: Simplify right side
    3.91x = 18.40
  5. Step 5: Solve for x
    x = 18.40/3.91
  6. Step 6: Final answer
    x = 4.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.