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Finding the Fourth Proportional to 6,128.93, 8,456.44 and 3,890

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Solution

The fourth proportional to 6,128.93, 8,456.44 and 3,890 is: 5,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.93 : 8,456.44 = 3,890 : x
  2. Step 2: Convert to fraction form
    6,128.93/8,456.44 = 3,890/x
  3. Step 3: Cross multiply
    6,128.93x = 8,456.44 × 3,890
  4. Step 4: Simplify right side
    6,128.93x = 32,895,551.60
  5. Step 5: Solve for x
    x = 32,895,551.60/6,128.93
  6. Step 6: Final answer
    x = 5,367.26

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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.