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Finding the Fourth Proportional to 4,192.56, 6,280.20 and 2,457

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Solution

The fourth proportional to 4,192.56, 6,280.20 and 2,457 is: 3,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.56 : 6,280.20 = 2,457 : x
  2. Step 2: Convert to fraction form
    4,192.56/6,280.20 = 2,457/x
  3. Step 3: Cross multiply
    4,192.56x = 6,280.20 × 2,457
  4. Step 4: Simplify right side
    4,192.56x = 15,430,451.40
  5. Step 5: Solve for x
    x = 15,430,451.40/4,192.56
  6. Step 6: Final answer
    x = 3,680.44

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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.