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Finding the Fourth Proportional to 5,415.30, 8,110.80 and 3,228.30

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Solution

The fourth proportional to 5,415.30, 8,110.80 and 3,228.30 is: 4,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.30 : 8,110.80 = 3,228.30 : x
  2. Step 2: Convert to fraction form
    5,415.30/8,110.80 = 3,228.30/x
  3. Step 3: Cross multiply
    5,415.30x = 8,110.80 × 3,228.30
  4. Step 4: Simplify right side
    5,415.30x = 26,184,095.64
  5. Step 5: Solve for x
    x = 26,184,095.64/5,415.30
  6. Step 6: Final answer
    x = 4,835.21

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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.