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Finding the Fourth Proportional to 4,114.54, 5,678.12 and 2,346.31

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Solution

The fourth proportional to 4,114.54, 5,678.12 and 2,346.31 is: 3,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.54 : 5,678.12 = 2,346.31 : x
  2. Step 2: Convert to fraction form
    4,114.54/5,678.12 = 2,346.31/x
  3. Step 3: Cross multiply
    4,114.54x = 5,678.12 × 2,346.31
  4. Step 4: Simplify right side
    4,114.54x = 13,322,589.62
  5. Step 5: Solve for x
    x = 13,322,589.62/4,114.54
  6. Step 6: Final answer
    x = 3,237.93

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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.