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Finding the Fourth Proportional to 3,596.99, 5,396.78 and 1,257.34

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Solution

The fourth proportional to 3,596.99, 5,396.78 and 1,257.34 is: 1,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.99 : 5,396.78 = 1,257.34 : x
  2. Step 2: Convert to fraction form
    3,596.99/5,396.78 = 1,257.34/x
  3. Step 3: Cross multiply
    3,596.99x = 5,396.78 × 1,257.34
  4. Step 4: Simplify right side
    3,596.99x = 6,785,587.37
  5. Step 5: Solve for x
    x = 6,785,587.37/3,596.99
  6. Step 6: Final answer
    x = 1,886.46

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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.