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Finding the Fourth Proportional to 5,605.41, 7,735.67 and 3,482.11

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Solution

The fourth proportional to 5,605.41, 7,735.67 and 3,482.11 is: 4,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.41 : 7,735.67 = 3,482.11 : x
  2. Step 2: Convert to fraction form
    5,605.41/7,735.67 = 3,482.11/x
  3. Step 3: Cross multiply
    5,605.41x = 7,735.67 × 3,482.11
  4. Step 4: Simplify right side
    5,605.41x = 26,936,434.88
  5. Step 5: Solve for x
    x = 26,936,434.88/5,605.41
  6. Step 6: Final answer
    x = 4,805.44

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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.