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Finding the Fourth Proportional to 3,809.73, 5,709.55 and 1,615.73

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Solution

The fourth proportional to 3,809.73, 5,709.55 and 1,615.73 is: 2,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.73 : 5,709.55 = 1,615.73 : x
  2. Step 2: Convert to fraction form
    3,809.73/5,709.55 = 1,615.73/x
  3. Step 3: Cross multiply
    3,809.73x = 5,709.55 × 1,615.73
  4. Step 4: Simplify right side
    3,809.73x = 9,225,091.22
  5. Step 5: Solve for x
    x = 9,225,091.22/3,809.73
  6. Step 6: Final answer
    x = 2,421.46

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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.