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Finding the Fourth Proportional to 3,920.96, 5,880.36 and 2,816.12

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Solution

The fourth proportional to 3,920.96, 5,880.36 and 2,816.12 is: 4,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.96 : 5,880.36 = 2,816.12 : x
  2. Step 2: Convert to fraction form
    3,920.96/5,880.36 = 2,816.12/x
  3. Step 3: Cross multiply
    3,920.96x = 5,880.36 × 2,816.12
  4. Step 4: Simplify right side
    3,920.96x = 16,559,799.40
  5. Step 5: Solve for x
    x = 16,559,799.40/3,920.96
  6. Step 6: Final answer
    x = 4,223.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.