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Finding the Fourth Proportional to 5,152.64, 7,729.26 and 2,032.43

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Solution

The fourth proportional to 5,152.64, 7,729.26 and 2,032.43 is: 3,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.64 : 7,729.26 = 2,032.43 : x
  2. Step 2: Convert to fraction form
    5,152.64/7,729.26 = 2,032.43/x
  3. Step 3: Cross multiply
    5,152.64x = 7,729.26 × 2,032.43
  4. Step 4: Simplify right side
    5,152.64x = 15,709,179.90
  5. Step 5: Solve for x
    x = 15,709,179.90/5,152.64
  6. Step 6: Final answer
    x = 3,048.76

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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.