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Finding the Fourth Proportional to 4,225.87, 5,829.92 and 2,829.07

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Solution

The fourth proportional to 4,225.87, 5,829.92 and 2,829.07 is: 3,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.87 : 5,829.92 = 2,829.07 : x
  2. Step 2: Convert to fraction form
    4,225.87/5,829.92 = 2,829.07/x
  3. Step 3: Cross multiply
    4,225.87x = 5,829.92 × 2,829.07
  4. Step 4: Simplify right side
    4,225.87x = 16,493,237.63
  5. Step 5: Solve for x
    x = 16,493,237.63/4,225.87
  6. Step 6: Final answer
    x = 3,902.92

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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.