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Finding the Fourth Proportional to 4,194.28, 5,784.96 and 4,008.16

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Solution

The fourth proportional to 4,194.28, 5,784.96 and 4,008.16 is: 5,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.28 : 5,784.96 = 4,008.16 : x
  2. Step 2: Convert to fraction form
    4,194.28/5,784.96 = 4,008.16/x
  3. Step 3: Cross multiply
    4,194.28x = 5,784.96 × 4,008.16
  4. Step 4: Simplify right side
    4,194.28x = 23,187,045.27
  5. Step 5: Solve for x
    x = 23,187,045.27/4,194.28
  6. Step 6: Final answer
    x = 5,528.25

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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.