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Finding the Fourth Proportional to 5.77, 8.64 and 5.01

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Solution

The fourth proportional to 5.77, 8.64 and 5.01 is: 7.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.77 : 8.64 = 5.01 : x
  2. Step 2: Convert to fraction form
    5.77/8.64 = 5.01/x
  3. Step 3: Cross multiply
    5.77x = 8.64 × 5.01
  4. Step 4: Simplify right side
    5.77x = 43.24
  5. Step 5: Solve for x
    x = 43.24/5.77
  6. Step 6: Final answer
    x = 7.49

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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.