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Finding the Fourth Proportional to 3,956.99, 5,461.37 and 2,363.75

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Solution

The fourth proportional to 3,956.99, 5,461.37 and 2,363.75 is: 3,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.99 : 5,461.37 = 2,363.75 : x
  2. Step 2: Convert to fraction form
    3,956.99/5,461.37 = 2,363.75/x
  3. Step 3: Cross multiply
    3,956.99x = 5,461.37 × 2,363.75
  4. Step 4: Simplify right side
    3,956.99x = 12,909,313.34
  5. Step 5: Solve for x
    x = 12,909,313.34/3,956.99
  6. Step 6: Final answer
    x = 3,262.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.