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Finding the Fourth Proportional to 5,426.96, 8,143.02 and 4,043.00

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Solution

The fourth proportional to 5,426.96, 8,143.02 and 4,043.00 is: 6,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.96 : 8,143.02 = 4,043.00 : x
  2. Step 2: Convert to fraction form
    5,426.96/8,143.02 = 4,043.00/x
  3. Step 3: Cross multiply
    5,426.96x = 8,143.02 × 4,043.00
  4. Step 4: Simplify right side
    5,426.96x = 32,922,189.14
  5. Step 5: Solve for x
    x = 32,922,189.14/5,426.96
  6. Step 6: Final answer
    x = 6,066.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.