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Finding the Fourth Proportional to 5,738.64, 7,923.72 and 4,410.24

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Solution

The fourth proportional to 5,738.64, 7,923.72 and 4,410.24 is: 6,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.64 : 7,923.72 = 4,410.24 : x
  2. Step 2: Convert to fraction form
    5,738.64/7,923.72 = 4,410.24/x
  3. Step 3: Cross multiply
    5,738.64x = 7,923.72 × 4,410.24
  4. Step 4: Simplify right side
    5,738.64x = 34,945,506.89
  5. Step 5: Solve for x
    x = 34,945,506.89/5,738.64
  6. Step 6: Final answer
    x = 6,089.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.