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Finding the Fourth Proportional to 5,334.82, 7,362.18 and 2,977.30

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Solution

The fourth proportional to 5,334.82, 7,362.18 and 2,977.30 is: 4,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.82 : 7,362.18 = 2,977.30 : x
  2. Step 2: Convert to fraction form
    5,334.82/7,362.18 = 2,977.30/x
  3. Step 3: Cross multiply
    5,334.82x = 7,362.18 × 2,977.30
  4. Step 4: Simplify right side
    5,334.82x = 21,919,418.51
  5. Step 5: Solve for x
    x = 21,919,418.51/5,334.82
  6. Step 6: Final answer
    x = 4,108.75

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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.