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Finding the Fourth Proportional to 4,116.80, 6,205.95 and 3,766.51

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Solution

The fourth proportional to 4,116.80, 6,205.95 and 3,766.51 is: 5,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.80 : 6,205.95 = 3,766.51 : x
  2. Step 2: Convert to fraction form
    4,116.80/6,205.95 = 3,766.51/x
  3. Step 3: Cross multiply
    4,116.80x = 6,205.95 × 3,766.51
  4. Step 4: Simplify right side
    4,116.80x = 23,374,766.64
  5. Step 5: Solve for x
    x = 23,374,766.64/4,116.80
  6. Step 6: Final answer
    x = 5,677.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.