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Finding the Fourth Proportional to 4,204.80, 5,802.49 and 2,503.31

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Solution

The fourth proportional to 4,204.80, 5,802.49 and 2,503.31 is: 3,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.80 : 5,802.49 = 2,503.31 : x
  2. Step 2: Convert to fraction form
    4,204.80/5,802.49 = 2,503.31/x
  3. Step 3: Cross multiply
    4,204.80x = 5,802.49 × 2,503.31
  4. Step 4: Simplify right side
    4,204.80x = 14,525,395.97
  5. Step 5: Solve for x
    x = 14,525,395.97/4,204.80
  6. Step 6: Final answer
    x = 3,454.48

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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.