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Finding the Fourth Proportional to 5,638.12, 8,454.12 and 1,688.83

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Solution

The fourth proportional to 5,638.12, 8,454.12 and 1,688.83 is: 2,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.12 : 8,454.12 = 1,688.83 : x
  2. Step 2: Convert to fraction form
    5,638.12/8,454.12 = 1,688.83/x
  3. Step 3: Cross multiply
    5,638.12x = 8,454.12 × 1,688.83
  4. Step 4: Simplify right side
    5,638.12x = 14,277,544.01
  5. Step 5: Solve for x
    x = 14,277,544.01/5,638.12
  6. Step 6: Final answer
    x = 2,532.32

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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.