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Finding the Fourth Proportional to 4,230.56, 5,838.12 and 2,367.56

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Solution

The fourth proportional to 4,230.56, 5,838.12 and 2,367.56 is: 3,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.56 : 5,838.12 = 2,367.56 : x
  2. Step 2: Convert to fraction form
    4,230.56/5,838.12 = 2,367.56/x
  3. Step 3: Cross multiply
    4,230.56x = 5,838.12 × 2,367.56
  4. Step 4: Simplify right side
    4,230.56x = 13,822,099.39
  5. Step 5: Solve for x
    x = 13,822,099.39/4,230.56
  6. Step 6: Final answer
    x = 3,267.20

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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.