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Finding the Fourth Proportional to 4,155.70, 5,722.62 and 3,713.44

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Solution

The fourth proportional to 4,155.70, 5,722.62 and 3,713.44 is: 5,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.70 : 5,722.62 = 3,713.44 : x
  2. Step 2: Convert to fraction form
    4,155.70/5,722.62 = 3,713.44/x
  3. Step 3: Cross multiply
    4,155.70x = 5,722.62 × 3,713.44
  4. Step 4: Simplify right side
    4,155.70x = 21,250,577.40
  5. Step 5: Solve for x
    x = 21,250,577.40/4,155.70
  6. Step 6: Final answer
    x = 5,113.60

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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.