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Finding the Fourth Proportional to 3,802.44, 5,702.56 and 1,462.29

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Solution

The fourth proportional to 3,802.44, 5,702.56 and 1,462.29 is: 2,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.44 : 5,702.56 = 1,462.29 : x
  2. Step 2: Convert to fraction form
    3,802.44/5,702.56 = 1,462.29/x
  3. Step 3: Cross multiply
    3,802.44x = 5,702.56 × 1,462.29
  4. Step 4: Simplify right side
    3,802.44x = 8,338,796.46
  5. Step 5: Solve for x
    x = 8,338,796.46/3,802.44
  6. Step 6: Final answer
    x = 2,193.01

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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.