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Finding the Fourth Proportional to 4,838.74, 6,678.02 and 2,714.84

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Solution

The fourth proportional to 4,838.74, 6,678.02 and 2,714.84 is: 3,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.74 : 6,678.02 = 2,714.84 : x
  2. Step 2: Convert to fraction form
    4,838.74/6,678.02 = 2,714.84/x
  3. Step 3: Cross multiply
    4,838.74x = 6,678.02 × 2,714.84
  4. Step 4: Simplify right side
    4,838.74x = 18,129,755.82
  5. Step 5: Solve for x
    x = 18,129,755.82/4,838.74
  6. Step 6: Final answer
    x = 3,746.79

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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.