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Finding the Fourth Proportional to 3,735.36, 5,559.12 and 3,723.84

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Solution

The fourth proportional to 3,735.36, 5,559.12 and 3,723.84 is: 5,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.36 : 5,559.12 = 3,723.84 : x
  2. Step 2: Convert to fraction form
    3,735.36/5,559.12 = 3,723.84/x
  3. Step 3: Cross multiply
    3,735.36x = 5,559.12 × 3,723.84
  4. Step 4: Simplify right side
    3,735.36x = 20,701,273.42
  5. Step 5: Solve for x
    x = 20,701,273.42/3,735.36
  6. Step 6: Final answer
    x = 5,541.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.