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Finding the Fourth Proportional to 5,638.56, 8,457.72 and 1,534.56

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Solution

The fourth proportional to 5,638.56, 8,457.72 and 1,534.56 is: 2,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.56 : 8,457.72 = 1,534.56 : x
  2. Step 2: Convert to fraction form
    5,638.56/8,457.72 = 1,534.56/x
  3. Step 3: Cross multiply
    5,638.56x = 8,457.72 × 1,534.56
  4. Step 4: Simplify right side
    5,638.56x = 12,978,878.80
  5. Step 5: Solve for x
    x = 12,978,878.80/5,638.56
  6. Step 6: Final answer
    x = 2,301.81

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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.