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Finding the Fourth Proportional to 5,188.30, 7,780.42 and 2,414.45

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Solution

The fourth proportional to 5,188.30, 7,780.42 and 2,414.45 is: 3,620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.30 : 7,780.42 = 2,414.45 : x
  2. Step 2: Convert to fraction form
    5,188.30/7,780.42 = 2,414.45/x
  3. Step 3: Cross multiply
    5,188.30x = 7,780.42 × 2,414.45
  4. Step 4: Simplify right side
    5,188.30x = 18,785,435.07
  5. Step 5: Solve for x
    x = 18,785,435.07/5,188.30
  6. Step 6: Final answer
    x = 3,620.73

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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.