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Finding the Fourth Proportional to 4,868.88, 7,305.48 and 2,271.60

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Solution

The fourth proportional to 4,868.88, 7,305.48 and 2,271.60 is: 3,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.88 : 7,305.48 = 2,271.60 : x
  2. Step 2: Convert to fraction form
    4,868.88/7,305.48 = 2,271.60/x
  3. Step 3: Cross multiply
    4,868.88x = 7,305.48 × 2,271.60
  4. Step 4: Simplify right side
    4,868.88x = 16,595,128.37
  5. Step 5: Solve for x
    x = 16,595,128.37/4,868.88
  6. Step 6: Final answer
    x = 3,408.41

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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.