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Finding the Fourth Proportional to 4,153.57, 6,231.21 and 1,688.38

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Solution

The fourth proportional to 4,153.57, 6,231.21 and 1,688.38 is: 2,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.57 : 6,231.21 = 1,688.38 : x
  2. Step 2: Convert to fraction form
    4,153.57/6,231.21 = 1,688.38/x
  3. Step 3: Cross multiply
    4,153.57x = 6,231.21 × 1,688.38
  4. Step 4: Simplify right side
    4,153.57x = 10,520,650.34
  5. Step 5: Solve for x
    x = 10,520,650.34/4,153.57
  6. Step 6: Final answer
    x = 2,532.92

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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.