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Finding the Fourth Proportional to 4,889.09, 6,746.83 and 2,706.19

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Solution

The fourth proportional to 4,889.09, 6,746.83 and 2,706.19 is: 3,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.09 : 6,746.83 = 2,706.19 : x
  2. Step 2: Convert to fraction form
    4,889.09/6,746.83 = 2,706.19/x
  3. Step 3: Cross multiply
    4,889.09x = 6,746.83 × 2,706.19
  4. Step 4: Simplify right side
    4,889.09x = 18,258,228.34
  5. Step 5: Solve for x
    x = 18,258,228.34/4,889.09
  6. Step 6: Final answer
    x = 3,734.48

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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.