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Finding the Fourth Proportional to 3,802.50, 5,247.36 and 2,682.24

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Solution

The fourth proportional to 3,802.50, 5,247.36 and 2,682.24 is: 3,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.50 : 5,247.36 = 2,682.24 : x
  2. Step 2: Convert to fraction form
    3,802.50/5,247.36 = 2,682.24/x
  3. Step 3: Cross multiply
    3,802.50x = 5,247.36 × 2,682.24
  4. Step 4: Simplify right side
    3,802.50x = 14,074,678.89
  5. Step 5: Solve for x
    x = 14,074,678.89/3,802.50
  6. Step 6: Final answer
    x = 3,701.43

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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.