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Finding the Fourth Proportional to 5,815, 8,722.47 and 3,223.42

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Solution

The fourth proportional to 5,815, 8,722.47 and 3,223.42 is: 4,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815 : 8,722.47 = 3,223.42 : x
  2. Step 2: Convert to fraction form
    5,815/8,722.47 = 3,223.42/x
  3. Step 3: Cross multiply
    5,815x = 8,722.47 × 3,223.42
  4. Step 4: Simplify right side
    5,815x = 28,116,184.25
  5. Step 5: Solve for x
    x = 28,116,184.25/5,815
  6. Step 6: Final answer
    x = 4,835.11

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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.