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Finding the Fourth Proportional to 3,953.67, 5,454.58 and 2,274.24

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Solution

The fourth proportional to 3,953.67, 5,454.58 and 2,274.24 is: 3,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.67 : 5,454.58 = 2,274.24 : x
  2. Step 2: Convert to fraction form
    3,953.67/5,454.58 = 2,274.24/x
  3. Step 3: Cross multiply
    3,953.67x = 5,454.58 × 2,274.24
  4. Step 4: Simplify right side
    3,953.67x = 12,405,024.02
  5. Step 5: Solve for x
    x = 12,405,024.02/3,953.67
  6. Step 6: Final answer
    x = 3,137.60

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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.