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Finding the Fourth Proportional to 4,638.57, 6,409.71 and 3,377.43

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Solution

The fourth proportional to 4,638.57, 6,409.71 and 3,377.43 is: 4,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.57 : 6,409.71 = 3,377.43 : x
  2. Step 2: Convert to fraction form
    4,638.57/6,409.71 = 3,377.43/x
  3. Step 3: Cross multiply
    4,638.57x = 6,409.71 × 3,377.43
  4. Step 4: Simplify right side
    4,638.57x = 21,648,329.96
  5. Step 5: Solve for x
    x = 21,648,329.96/4,638.57
  6. Step 6: Final answer
    x = 4,667.03

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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.