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Finding the Fourth Proportional to 4,964.44, 6,848.72 and 3,075.52

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Solution

The fourth proportional to 4,964.44, 6,848.72 and 3,075.52 is: 4,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.44 : 6,848.72 = 3,075.52 : x
  2. Step 2: Convert to fraction form
    4,964.44/6,848.72 = 3,075.52/x
  3. Step 3: Cross multiply
    4,964.44x = 6,848.72 × 3,075.52
  4. Step 4: Simplify right side
    4,964.44x = 21,063,375.33
  5. Step 5: Solve for x
    x = 21,063,375.33/4,964.44
  6. Step 6: Final answer
    x = 4,242.85

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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.