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Finding the Fourth Proportional to 4,614.28, 6,946.06 and 4,138

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Solution

The fourth proportional to 4,614.28, 6,946.06 and 4,138 is: 6,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.28 : 6,946.06 = 4,138 : x
  2. Step 2: Convert to fraction form
    4,614.28/6,946.06 = 4,138/x
  3. Step 3: Cross multiply
    4,614.28x = 6,946.06 × 4,138
  4. Step 4: Simplify right side
    4,614.28x = 28,742,796.28
  5. Step 5: Solve for x
    x = 28,742,796.28/4,614.28
  6. Step 6: Final answer
    x = 6,229.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.