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Finding the Fourth Proportional to 4,800.71, 7,202.82 and 2,028.08

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Solution

The fourth proportional to 4,800.71, 7,202.82 and 2,028.08 is: 3,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.71 : 7,202.82 = 2,028.08 : x
  2. Step 2: Convert to fraction form
    4,800.71/7,202.82 = 2,028.08/x
  3. Step 3: Cross multiply
    4,800.71x = 7,202.82 × 2,028.08
  4. Step 4: Simplify right side
    4,800.71x = 14,607,895.19
  5. Step 5: Solve for x
    x = 14,607,895.19/4,800.71
  6. Step 6: Final answer
    x = 3,042.86

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Why These Related Problems?

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