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Finding the Fourth Proportional to 5,127.67, 7,692.86 and 1,617.81

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Solution

The fourth proportional to 5,127.67, 7,692.86 and 1,617.81 is: 2,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.67 : 7,692.86 = 1,617.81 : x
  2. Step 2: Convert to fraction form
    5,127.67/7,692.86 = 1,617.81/x
  3. Step 3: Cross multiply
    5,127.67x = 7,692.86 × 1,617.81
  4. Step 4: Simplify right side
    5,127.67x = 12,445,539.28
  5. Step 5: Solve for x
    x = 12,445,539.28/5,127.67
  6. Step 6: Final answer
    x = 2,427.13

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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.