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Finding the Fourth Proportional to 5,477.82, 8,216.01 and 1,529.34

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Solution

The fourth proportional to 5,477.82, 8,216.01 and 1,529.34 is: 2,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.82 : 8,216.01 = 1,529.34 : x
  2. Step 2: Convert to fraction form
    5,477.82/8,216.01 = 1,529.34/x
  3. Step 3: Cross multiply
    5,477.82x = 8,216.01 × 1,529.34
  4. Step 4: Simplify right side
    5,477.82x = 12,565,072.73
  5. Step 5: Solve for x
    x = 12,565,072.73/5,477.82
  6. Step 6: Final answer
    x = 2,293.81

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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.