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Finding the Fourth Proportional to 3,802.32, 5,245.20 and 2,683.44

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Solution

The fourth proportional to 3,802.32, 5,245.20 and 2,683.44 is: 3,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.32 : 5,245.20 = 2,683.44 : x
  2. Step 2: Convert to fraction form
    3,802.32/5,245.20 = 2,683.44/x
  3. Step 3: Cross multiply
    3,802.32x = 5,245.20 × 2,683.44
  4. Step 4: Simplify right side
    3,802.32x = 14,075,179.49
  5. Step 5: Solve for x
    x = 14,075,179.49/3,802.32
  6. Step 6: Final answer
    x = 3,701.73

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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.