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Finding the Fourth Proportional to 3,478.89, 5,218.20 and 1,504.25

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Solution

The fourth proportional to 3,478.89, 5,218.20 and 1,504.25 is: 2,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.89 : 5,218.20 = 1,504.25 : x
  2. Step 2: Convert to fraction form
    3,478.89/5,218.20 = 1,504.25/x
  3. Step 3: Cross multiply
    3,478.89x = 5,218.20 × 1,504.25
  4. Step 4: Simplify right side
    3,478.89x = 7,849,451.26
  5. Step 5: Solve for x
    x = 7,849,451.26/3,478.89
  6. Step 6: Final answer
    x = 2,256.31

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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.