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Finding the Fourth Proportional to 3,817.36, 5,752.04 and 3,139.22

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Solution

The fourth proportional to 3,817.36, 5,752.04 and 3,139.22 is: 4,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.36 : 5,752.04 = 3,139.22 : x
  2. Step 2: Convert to fraction form
    3,817.36/5,752.04 = 3,139.22/x
  3. Step 3: Cross multiply
    3,817.36x = 5,752.04 × 3,139.22
  4. Step 4: Simplify right side
    3,817.36x = 18,056,911.82
  5. Step 5: Solve for x
    x = 18,056,911.82/3,817.36
  6. Step 6: Final answer
    x = 4,730.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.