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Finding the Fourth Proportional to 5,638.92, 8,447.80 and 4,720.36

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Solution

The fourth proportional to 5,638.92, 8,447.80 and 4,720.36 is: 7,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.92 : 8,447.80 = 4,720.36 : x
  2. Step 2: Convert to fraction form
    5,638.92/8,447.80 = 4,720.36/x
  3. Step 3: Cross multiply
    5,638.92x = 8,447.80 × 4,720.36
  4. Step 4: Simplify right side
    5,638.92x = 39,876,657.21
  5. Step 5: Solve for x
    x = 39,876,657.21/5,638.92
  6. Step 6: Final answer
    x = 7,071.68

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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.