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Finding the Fourth Proportional to 5,623.54, 7,760.50 and 3,105.60

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Solution

The fourth proportional to 5,623.54, 7,760.50 and 3,105.60 is: 4,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.54 : 7,760.50 = 3,105.60 : x
  2. Step 2: Convert to fraction form
    5,623.54/7,760.50 = 3,105.60/x
  3. Step 3: Cross multiply
    5,623.54x = 7,760.50 × 3,105.60
  4. Step 4: Simplify right side
    5,623.54x = 24,101,030.14
  5. Step 5: Solve for x
    x = 24,101,030.14/5,623.54
  6. Step 6: Final answer
    x = 4,285.74

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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.