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Finding the Fourth Proportional to 3,805.77, 5,242.19 and 2,684.74

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Solution

The fourth proportional to 3,805.77, 5,242.19 and 2,684.74 is: 3,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.77 : 5,242.19 = 2,684.74 : x
  2. Step 2: Convert to fraction form
    3,805.77/5,242.19 = 2,684.74/x
  3. Step 3: Cross multiply
    3,805.77x = 5,242.19 × 2,684.74
  4. Step 4: Simplify right side
    3,805.77x = 14,073,917.18
  5. Step 5: Solve for x
    x = 14,073,917.18/3,805.77
  6. Step 6: Final answer
    x = 3,698.05

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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.