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Finding the Fourth Proportional to 4,118.40, 5,644.80 and 4,089.60

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Solution

The fourth proportional to 4,118.40, 5,644.80 and 4,089.60 is: 5,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.40 : 5,644.80 = 4,089.60 : x
  2. Step 2: Convert to fraction form
    4,118.40/5,644.80 = 4,089.60/x
  3. Step 3: Cross multiply
    4,118.40x = 5,644.80 × 4,089.60
  4. Step 4: Simplify right side
    4,118.40x = 23,084,974.08
  5. Step 5: Solve for x
    x = 23,084,974.08/4,118.40
  6. Step 6: Final answer
    x = 5,605.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.