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Finding the Fourth Proportional to 4,334.06, 6,500.72 and 1,213.80

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Solution

The fourth proportional to 4,334.06, 6,500.72 and 1,213.80 is: 1,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.06 : 6,500.72 = 1,213.80 : x
  2. Step 2: Convert to fraction form
    4,334.06/6,500.72 = 1,213.80/x
  3. Step 3: Cross multiply
    4,334.06x = 6,500.72 × 1,213.80
  4. Step 4: Simplify right side
    4,334.06x = 7,890,567.87
  5. Step 5: Solve for x
    x = 7,890,567.87/4,334.06
  6. Step 6: Final answer
    x = 1,820.60

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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.