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Finding the Fourth Proportional to 4,864.50, 6,714.06 and 3,095.73

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Solution

The fourth proportional to 4,864.50, 6,714.06 and 3,095.73 is: 4,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.50 : 6,714.06 = 3,095.73 : x
  2. Step 2: Convert to fraction form
    4,864.50/6,714.06 = 3,095.73/x
  3. Step 3: Cross multiply
    4,864.50x = 6,714.06 × 3,095.73
  4. Step 4: Simplify right side
    4,864.50x = 20,784,916.96
  5. Step 5: Solve for x
    x = 20,784,916.96/4,864.50
  6. Step 6: Final answer
    x = 4,272.78

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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.