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Finding the Fourth Proportional to 4,114.92, 5,678.02 and 2,322.50

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Solution

The fourth proportional to 4,114.92, 5,678.02 and 2,322.50 is: 3,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.92 : 5,678.02 = 2,322.50 : x
  2. Step 2: Convert to fraction form
    4,114.92/5,678.02 = 2,322.50/x
  3. Step 3: Cross multiply
    4,114.92x = 5,678.02 × 2,322.50
  4. Step 4: Simplify right side
    4,114.92x = 13,187,201.45
  5. Step 5: Solve for x
    x = 13,187,201.45/4,114.92
  6. Step 6: Final answer
    x = 3,204.73

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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.