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Finding the Fourth Proportional to 4,763.34, 6,575.78 and 3,698.73

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Solution

The fourth proportional to 4,763.34, 6,575.78 and 3,698.73 is: 5,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.34 : 6,575.78 = 3,698.73 : x
  2. Step 2: Convert to fraction form
    4,763.34/6,575.78 = 3,698.73/x
  3. Step 3: Cross multiply
    4,763.34x = 6,575.78 × 3,698.73
  4. Step 4: Simplify right side
    4,763.34x = 24,322,044.01
  5. Step 5: Solve for x
    x = 24,322,044.01/4,763.34
  6. Step 6: Final answer
    x = 5,106.09

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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.