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Finding the Fourth Proportional to 4,859.30, 6,705.76 and 2,734.83

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Solution

The fourth proportional to 4,859.30, 6,705.76 and 2,734.83 is: 3,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.30 : 6,705.76 = 2,734.83 : x
  2. Step 2: Convert to fraction form
    4,859.30/6,705.76 = 2,734.83/x
  3. Step 3: Cross multiply
    4,859.30x = 6,705.76 × 2,734.83
  4. Step 4: Simplify right side
    4,859.30x = 18,339,113.62
  5. Step 5: Solve for x
    x = 18,339,113.62/4,859.30
  6. Step 6: Final answer
    x = 3,774.02

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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.