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Finding the Fourth Proportional to 5,664.94, 7,816.44 and 3,426.40

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Solution

The fourth proportional to 5,664.94, 7,816.44 and 3,426.40 is: 4,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.94 : 7,816.44 = 3,426.40 : x
  2. Step 2: Convert to fraction form
    5,664.94/7,816.44 = 3,426.40/x
  3. Step 3: Cross multiply
    5,664.94x = 7,816.44 × 3,426.40
  4. Step 4: Simplify right side
    5,664.94x = 26,782,250.02
  5. Step 5: Solve for x
    x = 26,782,250.02/5,664.94
  6. Step 6: Final answer
    x = 4,727.72

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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.