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Finding the Fourth Proportional to 3,801.92, 5,256.45 and 2,920.64

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Solution

The fourth proportional to 3,801.92, 5,256.45 and 2,920.64 is: 4,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.92 : 5,256.45 = 2,920.64 : x
  2. Step 2: Convert to fraction form
    3,801.92/5,256.45 = 2,920.64/x
  3. Step 3: Cross multiply
    3,801.92x = 5,256.45 × 2,920.64
  4. Step 4: Simplify right side
    3,801.92x = 15,352,171.85
  5. Step 5: Solve for x
    x = 15,352,171.85/3,801.92
  6. Step 6: Final answer
    x = 4,038.01

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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.