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Finding the Fourth Proportional to 4,838, 6,676.46 and 2,742.80

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Solution

The fourth proportional to 4,838, 6,676.46 and 2,742.80 is: 3,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838 : 6,676.46 = 2,742.80 : x
  2. Step 2: Convert to fraction form
    4,838/6,676.46 = 2,742.80/x
  3. Step 3: Cross multiply
    4,838x = 6,676.46 × 2,742.80
  4. Step 4: Simplify right side
    4,838x = 18,312,194.49
  5. Step 5: Solve for x
    x = 18,312,194.49/4,838
  6. Step 6: Final answer
    x = 3,785.08

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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.