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Finding the Fourth Proportional to 3,705.75, 5,113.94 and 2,308.50

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Solution

The fourth proportional to 3,705.75, 5,113.94 and 2,308.50 is: 3,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.75 : 5,113.94 = 2,308.50 : x
  2. Step 2: Convert to fraction form
    3,705.75/5,113.94 = 2,308.50/x
  3. Step 3: Cross multiply
    3,705.75x = 5,113.94 × 2,308.50
  4. Step 4: Simplify right side
    3,705.75x = 11,805,518.95
  5. Step 5: Solve for x
    x = 11,805,518.95/3,705.75
  6. Step 6: Final answer
    x = 3,185.73

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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.