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Finding the Fourth Proportional to 5,912.52, 8,869.32 and 1,530

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Solution

The fourth proportional to 5,912.52, 8,869.32 and 1,530 is: 2,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.52 : 8,869.32 = 1,530 : x
  2. Step 2: Convert to fraction form
    5,912.52/8,869.32 = 1,530/x
  3. Step 3: Cross multiply
    5,912.52x = 8,869.32 × 1,530
  4. Step 4: Simplify right side
    5,912.52x = 13,570,059.60
  5. Step 5: Solve for x
    x = 13,570,059.60/5,912.52
  6. Step 6: Final answer
    x = 2,295.14

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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.