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Finding the Fourth Proportional to 5.84, 8.75 and 2.45

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Solution

The fourth proportional to 5.84, 8.75 and 2.45 is: 3.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.84 : 8.75 = 2.45 : x
  2. Step 2: Convert to fraction form
    5.84/8.75 = 2.45/x
  3. Step 3: Cross multiply
    5.84x = 8.75 × 2.45
  4. Step 4: Simplify right side
    5.84x = 21.43
  5. Step 5: Solve for x
    x = 21.43/5.84
  6. Step 6: Final answer
    x = 3.67

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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.