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Finding the Fourth Proportional to 3,670.48, 5,504.82 and 1,478.56

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Solution

The fourth proportional to 3,670.48, 5,504.82 and 1,478.56 is: 2,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.48 : 5,504.82 = 1,478.56 : x
  2. Step 2: Convert to fraction form
    3,670.48/5,504.82 = 1,478.56/x
  3. Step 3: Cross multiply
    3,670.48x = 5,504.82 × 1,478.56
  4. Step 4: Simplify right side
    3,670.48x = 8,139,206.66
  5. Step 5: Solve for x
    x = 8,139,206.66/3,670.48
  6. Step 6: Final answer
    x = 2,217.48

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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.