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Finding the Fourth Proportional to 4,185, 6,269.28 and 2,868.54

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Solution

The fourth proportional to 4,185, 6,269.28 and 2,868.54 is: 4,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185 : 6,269.28 = 2,868.54 : x
  2. Step 2: Convert to fraction form
    4,185/6,269.28 = 2,868.54/x
  3. Step 3: Cross multiply
    4,185x = 6,269.28 × 2,868.54
  4. Step 4: Simplify right side
    4,185x = 17,983,680.45
  5. Step 5: Solve for x
    x = 17,983,680.45/4,185
  6. Step 6: Final answer
    x = 4,297.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.