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Finding the Fourth Proportional to 4,127.67, 6,192.72 and 1,530

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Solution

The fourth proportional to 4,127.67, 6,192.72 and 1,530 is: 2,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.67 : 6,192.72 = 1,530 : x
  2. Step 2: Convert to fraction form
    4,127.67/6,192.72 = 1,530/x
  3. Step 3: Cross multiply
    4,127.67x = 6,192.72 × 1,530
  4. Step 4: Simplify right side
    4,127.67x = 9,474,861.60
  5. Step 5: Solve for x
    x = 9,474,861.60/4,127.67
  6. Step 6: Final answer
    x = 2,295.45

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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.