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Finding the Fourth Proportional to 2,583.72, 3,567.24 and 1,536.12

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Solution

The fourth proportional to 2,583.72, 3,567.24 and 1,536.12 is: 2,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.72 : 3,567.24 = 1,536.12 : x
  2. Step 2: Convert to fraction form
    2,583.72/3,567.24 = 1,536.12/x
  3. Step 3: Cross multiply
    2,583.72x = 3,567.24 × 1,536.12
  4. Step 4: Simplify right side
    2,583.72x = 5,479,708.71
  5. Step 5: Solve for x
    x = 5,479,708.71/2,583.72
  6. Step 6: Final answer
    x = 2,120.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.