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Finding the Fourth Proportional to 5,441.88, 7,509.78 and 3,084

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Solution

The fourth proportional to 5,441.88, 7,509.78 and 3,084 is: 4,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.88 : 7,509.78 = 3,084 : x
  2. Step 2: Convert to fraction form
    5,441.88/7,509.78 = 3,084/x
  3. Step 3: Cross multiply
    5,441.88x = 7,509.78 × 3,084
  4. Step 4: Simplify right side
    5,441.88x = 23,160,161.52
  5. Step 5: Solve for x
    x = 23,160,161.52/5,441.88
  6. Step 6: Final answer
    x = 4,255.91

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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.