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Finding the Fourth Proportional to 4,722.54, 6,518.80 and 2,734

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Solution

The fourth proportional to 4,722.54, 6,518.80 and 2,734 is: 3,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.54 : 6,518.80 = 2,734 : x
  2. Step 2: Convert to fraction form
    4,722.54/6,518.80 = 2,734/x
  3. Step 3: Cross multiply
    4,722.54x = 6,518.80 × 2,734
  4. Step 4: Simplify right side
    4,722.54x = 17,822,399.20
  5. Step 5: Solve for x
    x = 17,822,399.20/4,722.54
  6. Step 6: Final answer
    x = 3,773.90

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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.