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Finding the Fourth Proportional to 5,638.67, 8,457.97 and 4,407.12

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Solution

The fourth proportional to 5,638.67, 8,457.97 and 4,407.12 is: 6,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.67 : 8,457.97 = 4,407.12 : x
  2. Step 2: Convert to fraction form
    5,638.67/8,457.97 = 4,407.12/x
  3. Step 3: Cross multiply
    5,638.67x = 8,457.97 × 4,407.12
  4. Step 4: Simplify right side
    5,638.67x = 37,275,262.20
  5. Step 5: Solve for x
    x = 37,275,262.20/5,638.67
  6. Step 6: Final answer
    x = 6,610.65

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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.