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Finding the Fourth Proportional to 5,838.28, 8,056.83 and 3,742.41

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Solution

The fourth proportional to 5,838.28, 8,056.83 and 3,742.41 is: 5,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.28 : 8,056.83 = 3,742.41 : x
  2. Step 2: Convert to fraction form
    5,838.28/8,056.83 = 3,742.41/x
  3. Step 3: Cross multiply
    5,838.28x = 8,056.83 × 3,742.41
  4. Step 4: Simplify right side
    5,838.28x = 30,151,941.02
  5. Step 5: Solve for x
    x = 30,151,941.02/5,838.28
  6. Step 6: Final answer
    x = 5,164.52

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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.