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Finding the Fourth Proportional to 5,534.96, 8,302 and 2,024.84

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Solution

The fourth proportional to 5,534.96, 8,302 and 2,024.84 is: 3,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.96 : 8,302 = 2,024.84 : x
  2. Step 2: Convert to fraction form
    5,534.96/8,302 = 2,024.84/x
  3. Step 3: Cross multiply
    5,534.96x = 8,302 × 2,024.84
  4. Step 4: Simplify right side
    5,534.96x = 16,810,221.68
  5. Step 5: Solve for x
    x = 16,810,221.68/5,534.96
  6. Step 6: Final answer
    x = 3,037.10

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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.