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Finding the Fourth Proportional to 3,615.76, 5,415.60 and 2,788

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Solution

The fourth proportional to 3,615.76, 5,415.60 and 2,788 is: 4,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.76 : 5,415.60 = 2,788 : x
  2. Step 2: Convert to fraction form
    3,615.76/5,415.60 = 2,788/x
  3. Step 3: Cross multiply
    3,615.76x = 5,415.60 × 2,788
  4. Step 4: Simplify right side
    3,615.76x = 15,098,692.80
  5. Step 5: Solve for x
    x = 15,098,692.80/3,615.76
  6. Step 6: Final answer
    x = 4,175.80

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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.