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Finding the Fourth Proportional to 4,135.59, 5,707.22 and 2,367.20

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Solution

The fourth proportional to 4,135.59, 5,707.22 and 2,367.20 is: 3,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.59 : 5,707.22 = 2,367.20 : x
  2. Step 2: Convert to fraction form
    4,135.59/5,707.22 = 2,367.20/x
  3. Step 3: Cross multiply
    4,135.59x = 5,707.22 × 2,367.20
  4. Step 4: Simplify right side
    4,135.59x = 13,510,133.62
  5. Step 5: Solve for x
    x = 13,510,133.62/4,135.59
  6. Step 6: Final answer
    x = 3,266.80

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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.