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Finding the Fourth Proportional to 4,234.88, 6,352.20 and 1,114.80

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Solution

The fourth proportional to 4,234.88, 6,352.20 and 1,114.80 is: 1,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.88 : 6,352.20 = 1,114.80 : x
  2. Step 2: Convert to fraction form
    4,234.88/6,352.20 = 1,114.80/x
  3. Step 3: Cross multiply
    4,234.88x = 6,352.20 × 1,114.80
  4. Step 4: Simplify right side
    4,234.88x = 7,081,432.56
  5. Step 5: Solve for x
    x = 7,081,432.56/4,234.88
  6. Step 6: Final answer
    x = 1,672.17

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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.