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Finding the Fourth Proportional to 5.80, 8.64 and 5.78

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Solution

The fourth proportional to 5.80, 8.64 and 5.78 is: 8.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.80 : 8.64 = 5.78 : x
  2. Step 2: Convert to fraction form
    5.80/8.64 = 5.78/x
  3. Step 3: Cross multiply
    5.80x = 8.64 × 5.78
  4. Step 4: Simplify right side
    5.80x = 49.94
  5. Step 5: Solve for x
    x = 49.94/5.80
  6. Step 6: Final answer
    x = 8.61

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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.