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Finding the Fourth Proportional to 5,410.98, 7,468.71 and 3,172.95

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Solution

The fourth proportional to 5,410.98, 7,468.71 and 3,172.95 is: 4,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.98 : 7,468.71 = 3,172.95 : x
  2. Step 2: Convert to fraction form
    5,410.98/7,468.71 = 3,172.95/x
  3. Step 3: Cross multiply
    5,410.98x = 7,468.71 × 3,172.95
  4. Step 4: Simplify right side
    5,410.98x = 23,697,843.39
  5. Step 5: Solve for x
    x = 23,697,843.39/5,410.98
  6. Step 6: Final answer
    x = 4,379.58

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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.