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Finding the Fourth Proportional to 4,864.68, 6,714.06 and 2,768.76

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Solution

The fourth proportional to 4,864.68, 6,714.06 and 2,768.76 is: 3,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.68 : 6,714.06 = 2,768.76 : x
  2. Step 2: Convert to fraction form
    4,864.68/6,714.06 = 2,768.76/x
  3. Step 3: Cross multiply
    4,864.68x = 6,714.06 × 2,768.76
  4. Step 4: Simplify right side
    4,864.68x = 18,589,620.77
  5. Step 5: Solve for x
    x = 18,589,620.77/4,864.68
  6. Step 6: Final answer
    x = 3,821.35

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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.