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Finding the Fourth Proportional to 3,615.46, 5,415.80 and 3,028.78

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Solution

The fourth proportional to 3,615.46, 5,415.80 and 3,028.78 is: 4,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.46 : 5,415.80 = 3,028.78 : x
  2. Step 2: Convert to fraction form
    3,615.46/5,415.80 = 3,028.78/x
  3. Step 3: Cross multiply
    3,615.46x = 5,415.80 × 3,028.78
  4. Step 4: Simplify right side
    3,615.46x = 16,403,266.72
  5. Step 5: Solve for x
    x = 16,403,266.72/3,615.46
  6. Step 6: Final answer
    x = 4,536.98

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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.