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Finding the Fourth Proportional to 4,113, 5,675.94 and 2,641

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Solution

The fourth proportional to 4,113, 5,675.94 and 2,641 is: 3,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 5,675.94 = 2,641 : x
  2. Step 2: Convert to fraction form
    4,113/5,675.94 = 2,641/x
  3. Step 3: Cross multiply
    4,113x = 5,675.94 × 2,641
  4. Step 4: Simplify right side
    4,113x = 14,990,157.54
  5. Step 5: Solve for x
    x = 14,990,157.54/4,113
  6. Step 6: Final answer
    x = 3,644.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.