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Finding the Fourth Proportional to 3,802.48, 5,705.53 and 2,634.28

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Solution

The fourth proportional to 3,802.48, 5,705.53 and 2,634.28 is: 3,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.48 : 5,705.53 = 2,634.28 : x
  2. Step 2: Convert to fraction form
    3,802.48/5,705.53 = 2,634.28/x
  3. Step 3: Cross multiply
    3,802.48x = 5,705.53 × 2,634.28
  4. Step 4: Simplify right side
    3,802.48x = 15,029,963.57
  5. Step 5: Solve for x
    x = 15,029,963.57/3,802.48
  6. Step 6: Final answer
    x = 3,952.67

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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.