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Finding the Fourth Proportional to 3,497.87, 5,245.27 and 1,854.04

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Solution

The fourth proportional to 3,497.87, 5,245.27 and 1,854.04 is: 2,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.87 : 5,245.27 = 1,854.04 : x
  2. Step 2: Convert to fraction form
    3,497.87/5,245.27 = 1,854.04/x
  3. Step 3: Cross multiply
    3,497.87x = 5,245.27 × 1,854.04
  4. Step 4: Simplify right side
    3,497.87x = 9,724,940.39
  5. Step 5: Solve for x
    x = 9,724,940.39/3,497.87
  6. Step 6: Final answer
    x = 2,780.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.