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Finding the Fourth Proportional to 3,720, 5,133.60 and 2,320.96

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Solution

The fourth proportional to 3,720, 5,133.60 and 2,320.96 is: 3,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720 : 5,133.60 = 2,320.96 : x
  2. Step 2: Convert to fraction form
    3,720/5,133.60 = 2,320.96/x
  3. Step 3: Cross multiply
    3,720x = 5,133.60 × 2,320.96
  4. Step 4: Simplify right side
    3,720x = 11,914,880.26
  5. Step 5: Solve for x
    x = 11,914,880.26/3,720
  6. Step 6: Final answer
    x = 3,202.92

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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.