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Finding the Fourth Proportional to 3,762.12, 5,635.56 and 3,455.88

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Solution

The fourth proportional to 3,762.12, 5,635.56 and 3,455.88 is: 5,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.12 : 5,635.56 = 3,455.88 : x
  2. Step 2: Convert to fraction form
    3,762.12/5,635.56 = 3,455.88/x
  3. Step 3: Cross multiply
    3,762.12x = 5,635.56 × 3,455.88
  4. Step 4: Simplify right side
    3,762.12x = 19,475,819.09
  5. Step 5: Solve for x
    x = 19,475,819.09/3,762.12
  6. Step 6: Final answer
    x = 5,176.82

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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.