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Finding the Fourth Proportional to 4,551.62, 6,824.50 and 1,920.83

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Solution

The fourth proportional to 4,551.62, 6,824.50 and 1,920.83 is: 2,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.62 : 6,824.50 = 1,920.83 : x
  2. Step 2: Convert to fraction form
    4,551.62/6,824.50 = 1,920.83/x
  3. Step 3: Cross multiply
    4,551.62x = 6,824.50 × 1,920.83
  4. Step 4: Simplify right side
    4,551.62x = 13,108,704.34
  5. Step 5: Solve for x
    x = 13,108,704.34/4,551.62
  6. Step 6: Final answer
    x = 2,880.01

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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.