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Finding the Fourth Proportional to 5,638.52, 8,458.27 and 1,478.51

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Solution

The fourth proportional to 5,638.52, 8,458.27 and 1,478.51 is: 2,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.52 : 8,458.27 = 1,478.51 : x
  2. Step 2: Convert to fraction form
    5,638.52/8,458.27 = 1,478.51/x
  3. Step 3: Cross multiply
    5,638.52x = 8,458.27 × 1,478.51
  4. Step 4: Simplify right side
    5,638.52x = 12,505,628.05
  5. Step 5: Solve for x
    x = 12,505,628.05/5,638.52
  6. Step 6: Final answer
    x = 2,217.89

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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.