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Finding the Fourth Proportional to 3,692.16, 5,538.78 and 1,716.84

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Solution

The fourth proportional to 3,692.16, 5,538.78 and 1,716.84 is: 2,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.16 : 5,538.78 = 1,716.84 : x
  2. Step 2: Convert to fraction form
    3,692.16/5,538.78 = 1,716.84/x
  3. Step 3: Cross multiply
    3,692.16x = 5,538.78 × 1,716.84
  4. Step 4: Simplify right side
    3,692.16x = 9,509,199.06
  5. Step 5: Solve for x
    x = 9,509,199.06/3,692.16
  6. Step 6: Final answer
    x = 2,575.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.