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Finding the Fourth Proportional to 5,546.93, 7,652.34 and 3,656.09

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Solution

The fourth proportional to 5,546.93, 7,652.34 and 3,656.09 is: 5,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.93 : 7,652.34 = 3,656.09 : x
  2. Step 2: Convert to fraction form
    5,546.93/7,652.34 = 3,656.09/x
  3. Step 3: Cross multiply
    5,546.93x = 7,652.34 × 3,656.09
  4. Step 4: Simplify right side
    5,546.93x = 27,977,605.49
  5. Step 5: Solve for x
    x = 27,977,605.49/5,546.93
  6. Step 6: Final answer
    x = 5,043.80

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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.