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Finding the Fourth Proportional to 5,188.88, 7,783.23 and 2,414.00

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Solution

The fourth proportional to 5,188.88, 7,783.23 and 2,414.00 is: 3,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.88 : 7,783.23 = 2,414.00 : x
  2. Step 2: Convert to fraction form
    5,188.88/7,783.23 = 2,414.00/x
  3. Step 3: Cross multiply
    5,188.88x = 7,783.23 × 2,414.00
  4. Step 4: Simplify right side
    5,188.88x = 18,788,678.30
  5. Step 5: Solve for x
    x = 18,788,678.30/5,188.88
  6. Step 6: Final answer
    x = 3,620.95

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Why These Related Problems?

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