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Finding the Fourth Proportional to 3,773.16, 5,206.94 and 2,094.57

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Solution

The fourth proportional to 3,773.16, 5,206.94 and 2,094.57 is: 2,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.16 : 5,206.94 = 2,094.57 : x
  2. Step 2: Convert to fraction form
    3,773.16/5,206.94 = 2,094.57/x
  3. Step 3: Cross multiply
    3,773.16x = 5,206.94 × 2,094.57
  4. Step 4: Simplify right side
    3,773.16x = 10,906,300.32
  5. Step 5: Solve for x
    x = 10,906,300.32/3,773.16
  6. Step 6: Final answer
    x = 2,890.50

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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.