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Finding the Fourth Proportional to 4,607.89, 6,912 and 1,321.45

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Solution

The fourth proportional to 4,607.89, 6,912 and 1,321.45 is: 1,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.89 : 6,912 = 1,321.45 : x
  2. Step 2: Convert to fraction form
    4,607.89/6,912 = 1,321.45/x
  3. Step 3: Cross multiply
    4,607.89x = 6,912 × 1,321.45
  4. Step 4: Simplify right side
    4,607.89x = 9,133,845.12
  5. Step 5: Solve for x
    x = 9,133,845.12/4,607.89
  6. Step 6: Final answer
    x = 1,982.22

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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.