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Finding the Fourth Proportional to 5,180.06, 7,774.19 and 2,260.41

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Solution

The fourth proportional to 5,180.06, 7,774.19 and 2,260.41 is: 3,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.06 : 7,774.19 = 2,260.41 : x
  2. Step 2: Convert to fraction form
    5,180.06/7,774.19 = 2,260.41/x
  3. Step 3: Cross multiply
    5,180.06x = 7,774.19 × 2,260.41
  4. Step 4: Simplify right side
    5,180.06x = 17,572,845.52
  5. Step 5: Solve for x
    x = 17,572,845.52/5,180.06
  6. Step 6: Final answer
    x = 3,392.41

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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.