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Finding the Fourth Proportional to 3,595.96, 4,965.24 and 2,812.24

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Solution

The fourth proportional to 3,595.96, 4,965.24 and 2,812.24 is: 3,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.96 : 4,965.24 = 2,812.24 : x
  2. Step 2: Convert to fraction form
    3,595.96/4,965.24 = 2,812.24/x
  3. Step 3: Cross multiply
    3,595.96x = 4,965.24 × 2,812.24
  4. Step 4: Simplify right side
    3,595.96x = 13,963,446.54
  5. Step 5: Solve for x
    x = 13,963,446.54/3,595.96
  6. Step 6: Final answer
    x = 3,883.09

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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.