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Finding the Fourth Proportional to 3,906.42, 5,390.73 and 2,333.58

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Solution

The fourth proportional to 3,906.42, 5,390.73 and 2,333.58 is: 3,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.42 : 5,390.73 = 2,333.58 : x
  2. Step 2: Convert to fraction form
    3,906.42/5,390.73 = 2,333.58/x
  3. Step 3: Cross multiply
    3,906.42x = 5,390.73 × 2,333.58
  4. Step 4: Simplify right side
    3,906.42x = 12,579,699.71
  5. Step 5: Solve for x
    x = 12,579,699.71/3,906.42
  6. Step 6: Final answer
    x = 3,220.26

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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.