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Finding the Fourth Proportional to 3,497.96, 4,828.20 and 2,794.70

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Solution

The fourth proportional to 3,497.96, 4,828.20 and 2,794.70 is: 3,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.96 : 4,828.20 = 2,794.70 : x
  2. Step 2: Convert to fraction form
    3,497.96/4,828.20 = 2,794.70/x
  3. Step 3: Cross multiply
    3,497.96x = 4,828.20 × 2,794.70
  4. Step 4: Simplify right side
    3,497.96x = 13,493,364.50
  5. Step 5: Solve for x
    x = 13,493,364.50/3,497.96
  6. Step 6: Final answer
    x = 3,857.50

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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.