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Finding the Fourth Proportional to 5,548.74, 8,321.81 and 2,585.32

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Solution

The fourth proportional to 5,548.74, 8,321.81 and 2,585.32 is: 3,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.74 : 8,321.81 = 2,585.32 : x
  2. Step 2: Convert to fraction form
    5,548.74/8,321.81 = 2,585.32/x
  3. Step 3: Cross multiply
    5,548.74x = 8,321.81 × 2,585.32
  4. Step 4: Simplify right side
    5,548.74x = 21,514,508.10
  5. Step 5: Solve for x
    x = 21,514,508.10/5,548.74
  6. Step 6: Final answer
    x = 3,877.37

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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.