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Finding the Fourth Proportional to 5,605.46, 7,735.43 and 3,087.80

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Solution

The fourth proportional to 5,605.46, 7,735.43 and 3,087.80 is: 4,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.46 : 7,735.43 = 3,087.80 : x
  2. Step 2: Convert to fraction form
    5,605.46/7,735.43 = 3,087.80/x
  3. Step 3: Cross multiply
    5,605.46x = 7,735.43 × 3,087.80
  4. Step 4: Simplify right side
    5,605.46x = 23,885,406.64
  5. Step 5: Solve for x
    x = 23,885,406.64/5,605.46
  6. Step 6: Final answer
    x = 4,261.10

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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.