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Finding the Fourth Proportional to 5,354.37, 7,382.16 and 3,462.75

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Solution

The fourth proportional to 5,354.37, 7,382.16 and 3,462.75 is: 4,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.37 : 7,382.16 = 3,462.75 : x
  2. Step 2: Convert to fraction form
    5,354.37/7,382.16 = 3,462.75/x
  3. Step 3: Cross multiply
    5,354.37x = 7,382.16 × 3,462.75
  4. Step 4: Simplify right side
    5,354.37x = 25,562,574.54
  5. Step 5: Solve for x
    x = 25,562,574.54/5,354.37
  6. Step 6: Final answer
    x = 4,774.15

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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.