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Finding the Fourth Proportional to 4,845, 6,686.52 and 3,075.96

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Solution

The fourth proportional to 4,845, 6,686.52 and 3,075.96 is: 4,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845 : 6,686.52 = 3,075.96 : x
  2. Step 2: Convert to fraction form
    4,845/6,686.52 = 3,075.96/x
  3. Step 3: Cross multiply
    4,845x = 6,686.52 × 3,075.96
  4. Step 4: Simplify right side
    4,845x = 20,567,468.06
  5. Step 5: Solve for x
    x = 20,567,468.06/4,845
  6. Step 6: Final answer
    x = 4,245.09

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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.