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Finding the Fourth Proportional to 4,771.98, 7,160.47 and 3,466.52

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Solution

The fourth proportional to 4,771.98, 7,160.47 and 3,466.52 is: 5,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.98 : 7,160.47 = 3,466.52 : x
  2. Step 2: Convert to fraction form
    4,771.98/7,160.47 = 3,466.52/x
  3. Step 3: Cross multiply
    4,771.98x = 7,160.47 × 3,466.52
  4. Step 4: Simplify right side
    4,771.98x = 24,821,868.00
  5. Step 5: Solve for x
    x = 24,821,868.00/4,771.98
  6. Step 6: Final answer
    x = 5,201.59

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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.