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Finding the Fourth Proportional to 3,669.40, 5,504.34 and 1,478.14

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Solution

The fourth proportional to 3,669.40, 5,504.34 and 1,478.14 is: 2,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.40 : 5,504.34 = 1,478.14 : x
  2. Step 2: Convert to fraction form
    3,669.40/5,504.34 = 1,478.14/x
  3. Step 3: Cross multiply
    3,669.40x = 5,504.34 × 1,478.14
  4. Step 4: Simplify right side
    3,669.40x = 8,136,185.13
  5. Step 5: Solve for x
    x = 8,136,185.13/3,669.40
  6. Step 6: Final answer
    x = 2,217.31

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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.