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Finding the Fourth Proportional to 4,159.46, 5,740.14 and 2,367.22

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Solution

The fourth proportional to 4,159.46, 5,740.14 and 2,367.22 is: 3,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.46 : 5,740.14 = 2,367.22 : x
  2. Step 2: Convert to fraction form
    4,159.46/5,740.14 = 2,367.22/x
  3. Step 3: Cross multiply
    4,159.46x = 5,740.14 × 2,367.22
  4. Step 4: Simplify right side
    4,159.46x = 13,588,174.21
  5. Step 5: Solve for x
    x = 13,588,174.21/4,159.46
  6. Step 6: Final answer
    x = 3,266.81

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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.