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Finding the Fourth Proportional to 3,276.52, 4,917.18 and 2,457

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Solution

The fourth proportional to 3,276.52, 4,917.18 and 2,457 is: 3,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.52 : 4,917.18 = 2,457 : x
  2. Step 2: Convert to fraction form
    3,276.52/4,917.18 = 2,457/x
  3. Step 3: Cross multiply
    3,276.52x = 4,917.18 × 2,457
  4. Step 4: Simplify right side
    3,276.52x = 12,081,511.26
  5. Step 5: Solve for x
    x = 12,081,511.26/3,276.52
  6. Step 6: Final answer
    x = 3,687.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.