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Finding the Fourth Proportional to 4,940.10, 7,406.51 and 2,340

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Solution

The fourth proportional to 4,940.10, 7,406.51 and 2,340 is: 3,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.10 : 7,406.51 = 2,340 : x
  2. Step 2: Convert to fraction form
    4,940.10/7,406.51 = 2,340/x
  3. Step 3: Cross multiply
    4,940.10x = 7,406.51 × 2,340
  4. Step 4: Simplify right side
    4,940.10x = 17,331,221.70
  5. Step 5: Solve for x
    x = 17,331,221.70/4,940.10
  6. Step 6: Final answer
    x = 3,508.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.