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Finding the Fourth Proportional to 5,563.44, 7,645.41 and 5,306.46

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Solution

The fourth proportional to 5,563.44, 7,645.41 and 5,306.46 is: 7,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.44 : 7,645.41 = 5,306.46 : x
  2. Step 2: Convert to fraction form
    5,563.44/7,645.41 = 5,306.46/x
  3. Step 3: Cross multiply
    5,563.44x = 7,645.41 × 5,306.46
  4. Step 4: Simplify right side
    5,563.44x = 40,570,062.35
  5. Step 5: Solve for x
    x = 40,570,062.35/5,563.44
  6. Step 6: Final answer
    x = 7,292.26

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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.