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Finding the Fourth Proportional to 3,447.82, 5,172.90 and 1,501.30

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Solution

The fourth proportional to 3,447.82, 5,172.90 and 1,501.30 is: 2,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.82 : 5,172.90 = 1,501.30 : x
  2. Step 2: Convert to fraction form
    3,447.82/5,172.90 = 1,501.30/x
  3. Step 3: Cross multiply
    3,447.82x = 5,172.90 × 1,501.30
  4. Step 4: Simplify right side
    3,447.82x = 7,766,074.77
  5. Step 5: Solve for x
    x = 7,766,074.77/3,447.82
  6. Step 6: Final answer
    x = 2,252.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.