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Finding the Fourth Proportional to 5,052, 7,577.28 and 1,589.28

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Solution

The fourth proportional to 5,052, 7,577.28 and 1,589.28 is: 2,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052 : 7,577.28 = 1,589.28 : x
  2. Step 2: Convert to fraction form
    5,052/7,577.28 = 1,589.28/x
  3. Step 3: Cross multiply
    5,052x = 7,577.28 × 1,589.28
  4. Step 4: Simplify right side
    5,052x = 12,042,419.56
  5. Step 5: Solve for x
    x = 12,042,419.56/5,052
  6. Step 6: Final answer
    x = 2,383.69

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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.