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Finding the Fourth Proportional to 4,705.46, 6,497.25 and 3,819.86

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Solution

The fourth proportional to 4,705.46, 6,497.25 and 3,819.86 is: 5,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.46 : 6,497.25 = 3,819.86 : x
  2. Step 2: Convert to fraction form
    4,705.46/6,497.25 = 3,819.86/x
  3. Step 3: Cross multiply
    4,705.46x = 6,497.25 × 3,819.86
  4. Step 4: Simplify right side
    4,705.46x = 24,818,585.39
  5. Step 5: Solve for x
    x = 24,818,585.39/4,705.46
  6. Step 6: Final answer
    x = 5,274.42

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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.