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Finding the Fourth Proportional to 4,118.47, 5,684.03 and 2,350.42

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Solution

The fourth proportional to 4,118.47, 5,684.03 and 2,350.42 is: 3,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.47 : 5,684.03 = 2,350.42 : x
  2. Step 2: Convert to fraction form
    4,118.47/5,684.03 = 2,350.42/x
  3. Step 3: Cross multiply
    4,118.47x = 5,684.03 × 2,350.42
  4. Step 4: Simplify right side
    4,118.47x = 13,359,857.79
  5. Step 5: Solve for x
    x = 13,359,857.79/4,118.47
  6. Step 6: Final answer
    x = 3,243.89

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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.