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Finding the Fourth Proportional to 4,204.50, 5,802.21 and 2,341.50

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Solution

The fourth proportional to 4,204.50, 5,802.21 and 2,341.50 is: 3,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.50 : 5,802.21 = 2,341.50 : x
  2. Step 2: Convert to fraction form
    4,204.50/5,802.21 = 2,341.50/x
  3. Step 3: Cross multiply
    4,204.50x = 5,802.21 × 2,341.50
  4. Step 4: Simplify right side
    4,204.50x = 13,585,874.72
  5. Step 5: Solve for x
    x = 13,585,874.72/4,204.50
  6. Step 6: Final answer
    x = 3,231.27

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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.