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Finding the Fourth Proportional to 4,626.36, 6,384.96 and 2,738.34

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Solution

The fourth proportional to 4,626.36, 6,384.96 and 2,738.34 is: 3,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.36 : 6,384.96 = 2,738.34 : x
  2. Step 2: Convert to fraction form
    4,626.36/6,384.96 = 2,738.34/x
  3. Step 3: Cross multiply
    4,626.36x = 6,384.96 × 2,738.34
  4. Step 4: Simplify right side
    4,626.36x = 17,484,191.37
  5. Step 5: Solve for x
    x = 17,484,191.37/4,626.36
  6. Step 6: Final answer
    x = 3,779.25

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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.