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Finding the Fourth Proportional to 4,298.67, 6,440.71 and 3,890.43

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Solution

The fourth proportional to 4,298.67, 6,440.71 and 3,890.43 is: 5,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.67 : 6,440.71 = 3,890.43 : x
  2. Step 2: Convert to fraction form
    4,298.67/6,440.71 = 3,890.43/x
  3. Step 3: Cross multiply
    4,298.67x = 6,440.71 × 3,890.43
  4. Step 4: Simplify right side
    4,298.67x = 25,057,131.41
  5. Step 5: Solve for x
    x = 25,057,131.41/4,298.67
  6. Step 6: Final answer
    x = 5,829.04

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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.