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Finding the Fourth Proportional to 3,457.63, 5,187.35 and 2,512.46

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Solution

The fourth proportional to 3,457.63, 5,187.35 and 2,512.46 is: 3,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.63 : 5,187.35 = 2,512.46 : x
  2. Step 2: Convert to fraction form
    3,457.63/5,187.35 = 2,512.46/x
  3. Step 3: Cross multiply
    3,457.63x = 5,187.35 × 2,512.46
  4. Step 4: Simplify right side
    3,457.63x = 13,033,028.63
  5. Step 5: Solve for x
    x = 13,033,028.63/3,457.63
  6. Step 6: Final answer
    x = 3,769.36

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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.