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Finding the Fourth Proportional to 3,460.42, 4,773.94 and 2,202.17

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Solution

The fourth proportional to 3,460.42, 4,773.94 and 2,202.17 is: 3,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.42 : 4,773.94 = 2,202.17 : x
  2. Step 2: Convert to fraction form
    3,460.42/4,773.94 = 2,202.17/x
  3. Step 3: Cross multiply
    3,460.42x = 4,773.94 × 2,202.17
  4. Step 4: Simplify right side
    3,460.42x = 10,512,998.07
  5. Step 5: Solve for x
    x = 10,512,998.07/3,460.42
  6. Step 6: Final answer
    x = 3,038.07

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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.