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Finding the Fourth Proportional to 4,843.70, 6,684.93 and 3,271.70

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Solution

The fourth proportional to 4,843.70, 6,684.93 and 3,271.70 is: 4,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.70 : 6,684.93 = 3,271.70 : x
  2. Step 2: Convert to fraction form
    4,843.70/6,684.93 = 3,271.70/x
  3. Step 3: Cross multiply
    4,843.70x = 6,684.93 × 3,271.70
  4. Step 4: Simplify right side
    4,843.70x = 21,871,085.48
  5. Step 5: Solve for x
    x = 21,871,085.48/4,843.70
  6. Step 6: Final answer
    x = 4,515.37

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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.