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Finding the Fourth Proportional to 3,760.56, 5,632.59 and 3,100.93

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Solution

The fourth proportional to 3,760.56, 5,632.59 and 3,100.93 is: 4,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.56 : 5,632.59 = 3,100.93 : x
  2. Step 2: Convert to fraction form
    3,760.56/5,632.59 = 3,100.93/x
  3. Step 3: Cross multiply
    3,760.56x = 5,632.59 × 3,100.93
  4. Step 4: Simplify right side
    3,760.56x = 17,466,267.31
  5. Step 5: Solve for x
    x = 17,466,267.31/3,760.56
  6. Step 6: Final answer
    x = 4,644.59

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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.