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Finding the Fourth Proportional to 4,650.54, 6,416.79 and 2,761.86

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Solution

The fourth proportional to 4,650.54, 6,416.79 and 2,761.86 is: 3,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.54 : 6,416.79 = 2,761.86 : x
  2. Step 2: Convert to fraction form
    4,650.54/6,416.79 = 2,761.86/x
  3. Step 3: Cross multiply
    4,650.54x = 6,416.79 × 2,761.86
  4. Step 4: Simplify right side
    4,650.54x = 17,722,275.63
  5. Step 5: Solve for x
    x = 17,722,275.63/4,650.54
  6. Step 6: Final answer
    x = 3,810.80

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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.