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Finding the Fourth Proportional to 5,410.98, 7,468.77 and 3,173.46

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Solution

The fourth proportional to 5,410.98, 7,468.77 and 3,173.46 is: 4,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.98 : 7,468.77 = 3,173.46 : x
  2. Step 2: Convert to fraction form
    5,410.98/7,468.77 = 3,173.46/x
  3. Step 3: Cross multiply
    5,410.98x = 7,468.77 × 3,173.46
  4. Step 4: Simplify right side
    5,410.98x = 23,701,842.84
  5. Step 5: Solve for x
    x = 23,701,842.84/5,410.98
  6. Step 6: Final answer
    x = 4,380.32

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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.