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Finding the Fourth Proportional to 3,890.40, 5,756.25 and 3,879.47

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Solution

The fourth proportional to 3,890.40, 5,756.25 and 3,879.47 is: 5,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.40 : 5,756.25 = 3,879.47 : x
  2. Step 2: Convert to fraction form
    3,890.40/5,756.25 = 3,879.47/x
  3. Step 3: Cross multiply
    3,890.40x = 5,756.25 × 3,879.47
  4. Step 4: Simplify right side
    3,890.40x = 22,331,170.41
  5. Step 5: Solve for x
    x = 22,331,170.41/3,890.40
  6. Step 6: Final answer
    x = 5,740.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.