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Finding the Fourth Proportional to 3,563.92, 4,916.64 and 2,383.84

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Solution

The fourth proportional to 3,563.92, 4,916.64 and 2,383.84 is: 3,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.92 : 4,916.64 = 2,383.84 : x
  2. Step 2: Convert to fraction form
    3,563.92/4,916.64 = 2,383.84/x
  3. Step 3: Cross multiply
    3,563.92x = 4,916.64 × 2,383.84
  4. Step 4: Simplify right side
    3,563.92x = 11,720,483.10
  5. Step 5: Solve for x
    x = 11,720,483.10/3,563.92
  6. Step 6: Final answer
    x = 3,288.65

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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.