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Finding the Fourth Proportional to 5,054.64, 7,583 and 2,132.96

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Solution

The fourth proportional to 5,054.64, 7,583 and 2,132.96 is: 3,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.64 : 7,583 = 2,132.96 : x
  2. Step 2: Convert to fraction form
    5,054.64/7,583 = 2,132.96/x
  3. Step 3: Cross multiply
    5,054.64x = 7,583 × 2,132.96
  4. Step 4: Simplify right side
    5,054.64x = 16,174,235.68
  5. Step 5: Solve for x
    x = 16,174,235.68/5,054.64
  6. Step 6: Final answer
    x = 3,199.88

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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.