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Finding the Fourth Proportional to 5,052.96, 7,576.80 and 1,589.28

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Solution

The fourth proportional to 5,052.96, 7,576.80 and 1,589.28 is: 2,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.96 : 7,576.80 = 1,589.28 : x
  2. Step 2: Convert to fraction form
    5,052.96/7,576.80 = 1,589.28/x
  3. Step 3: Cross multiply
    5,052.96x = 7,576.80 × 1,589.28
  4. Step 4: Simplify right side
    5,052.96x = 12,041,656.70
  5. Step 5: Solve for x
    x = 12,041,656.70/5,052.96
  6. Step 6: Final answer
    x = 2,383.09

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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.