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Finding the Fourth Proportional to 5,635.37, 7,774.37 and 3,395.98

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Solution

The fourth proportional to 5,635.37, 7,774.37 and 3,395.98 is: 4,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.37 : 7,774.37 = 3,395.98 : x
  2. Step 2: Convert to fraction form
    5,635.37/7,774.37 = 3,395.98/x
  3. Step 3: Cross multiply
    5,635.37x = 7,774.37 × 3,395.98
  4. Step 4: Simplify right side
    5,635.37x = 26,401,605.03
  5. Step 5: Solve for x
    x = 26,401,605.03/5,635.37
  6. Step 6: Final answer
    x = 4,684.98

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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.