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Finding the Fourth Proportional to 3,802.25, 5,701.68 and 1,722.17

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Solution

The fourth proportional to 3,802.25, 5,701.68 and 1,722.17 is: 2,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.25 : 5,701.68 = 1,722.17 : x
  2. Step 2: Convert to fraction form
    3,802.25/5,701.68 = 1,722.17/x
  3. Step 3: Cross multiply
    3,802.25x = 5,701.68 × 1,722.17
  4. Step 4: Simplify right side
    3,802.25x = 9,819,233.74
  5. Step 5: Solve for x
    x = 9,819,233.74/3,802.25
  6. Step 6: Final answer
    x = 2,582.48

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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.