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Finding the Fourth Proportional to 4,963.78, 6,851.82 and 3,075.67

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Solution

The fourth proportional to 4,963.78, 6,851.82 and 3,075.67 is: 4,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.78 : 6,851.82 = 3,075.67 : x
  2. Step 2: Convert to fraction form
    4,963.78/6,851.82 = 3,075.67/x
  3. Step 3: Cross multiply
    4,963.78x = 6,851.82 × 3,075.67
  4. Step 4: Simplify right side
    4,963.78x = 21,073,937.22
  5. Step 5: Solve for x
    x = 21,073,937.22/4,963.78
  6. Step 6: Final answer
    x = 4,245.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.