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Finding the Fourth Proportional to 4,941, 7,418 and 4,533.48

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Solution

The fourth proportional to 4,941, 7,418 and 4,533.48 is: 6,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941 : 7,418 = 4,533.48 : x
  2. Step 2: Convert to fraction form
    4,941/7,418 = 4,533.48/x
  3. Step 3: Cross multiply
    4,941x = 7,418 × 4,533.48
  4. Step 4: Simplify right side
    4,941x = 33,629,354.64
  5. Step 5: Solve for x
    x = 33,629,354.64/4,941
  6. Step 6: Final answer
    x = 6,806.18

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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.