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Finding the Fourth Proportional to 4,114.77, 5,678.30 and 2,346.23

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Solution

The fourth proportional to 4,114.77, 5,678.30 and 2,346.23 is: 3,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.77 : 5,678.30 = 2,346.23 : x
  2. Step 2: Convert to fraction form
    4,114.77/5,678.30 = 2,346.23/x
  3. Step 3: Cross multiply
    4,114.77x = 5,678.30 × 2,346.23
  4. Step 4: Simplify right side
    4,114.77x = 13,322,617.87
  5. Step 5: Solve for x
    x = 13,322,617.87/4,114.77
  6. Step 6: Final answer
    x = 3,237.76

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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.