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Finding the Fourth Proportional to 5,671.89, 7,826.49 and 3,577.23

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Solution

The fourth proportional to 5,671.89, 7,826.49 and 3,577.23 is: 4,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.89 : 7,826.49 = 3,577.23 : x
  2. Step 2: Convert to fraction form
    5,671.89/7,826.49 = 3,577.23/x
  3. Step 3: Cross multiply
    5,671.89x = 7,826.49 × 3,577.23
  4. Step 4: Simplify right side
    5,671.89x = 27,997,154.82
  5. Step 5: Solve for x
    x = 27,997,154.82/5,671.89
  6. Step 6: Final answer
    x = 4,936.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.