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Finding the Fourth Proportional to 4,968.29, 6,863.23 and 4,705.85

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Solution

The fourth proportional to 4,968.29, 6,863.23 and 4,705.85 is: 6,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.29 : 6,863.23 = 4,705.85 : x
  2. Step 2: Convert to fraction form
    4,968.29/6,863.23 = 4,705.85/x
  3. Step 3: Cross multiply
    4,968.29x = 6,863.23 × 4,705.85
  4. Step 4: Simplify right side
    4,968.29x = 32,297,330.90
  5. Step 5: Solve for x
    x = 32,297,330.90/4,968.29
  6. Step 6: Final answer
    x = 6,500.69

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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.