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Finding the Fourth Proportional to 5,128.40, 7,692.44 and 1,841.68

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Solution

The fourth proportional to 5,128.40, 7,692.44 and 1,841.68 is: 2,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.40 : 7,692.44 = 1,841.68 : x
  2. Step 2: Convert to fraction form
    5,128.40/7,692.44 = 1,841.68/x
  3. Step 3: Cross multiply
    5,128.40x = 7,692.44 × 1,841.68
  4. Step 4: Simplify right side
    5,128.40x = 14,167,012.90
  5. Step 5: Solve for x
    x = 14,167,012.90/5,128.40
  6. Step 6: Final answer
    x = 2,762.46

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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.