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Finding the Fourth Proportional to 4,859.34, 6,705.93 and 2,734.80

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Solution

The fourth proportional to 4,859.34, 6,705.93 and 2,734.80 is: 3,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.34 : 6,705.93 = 2,734.80 : x
  2. Step 2: Convert to fraction form
    4,859.34/6,705.93 = 2,734.80/x
  3. Step 3: Cross multiply
    4,859.34x = 6,705.93 × 2,734.80
  4. Step 4: Simplify right side
    4,859.34x = 18,339,377.36
  5. Step 5: Solve for x
    x = 18,339,377.36/4,859.34
  6. Step 6: Final answer
    x = 3,774.05

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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.