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Finding the Fourth Proportional to 5,440.37, 8,161.02 and 1,544.81

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Solution

The fourth proportional to 5,440.37, 8,161.02 and 1,544.81 is: 2,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.37 : 8,161.02 = 1,544.81 : x
  2. Step 2: Convert to fraction form
    5,440.37/8,161.02 = 1,544.81/x
  3. Step 3: Cross multiply
    5,440.37x = 8,161.02 × 1,544.81
  4. Step 4: Simplify right side
    5,440.37x = 12,607,184.50
  5. Step 5: Solve for x
    x = 12,607,184.50/5,440.37
  6. Step 6: Final answer
    x = 2,317.34

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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.