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Finding the Fourth Proportional to 5,546.34, 7,652.61 and 3,448.98

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Solution

The fourth proportional to 5,546.34, 7,652.61 and 3,448.98 is: 4,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.34 : 7,652.61 = 3,448.98 : x
  2. Step 2: Convert to fraction form
    5,546.34/7,652.61 = 3,448.98/x
  3. Step 3: Cross multiply
    5,546.34x = 7,652.61 × 3,448.98
  4. Step 4: Simplify right side
    5,546.34x = 26,393,698.84
  5. Step 5: Solve for x
    x = 26,393,698.84/5,546.34
  6. Step 6: Final answer
    x = 4,758.76

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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.