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Finding the Fourth Proportional to 3,494.82, 5,242.37 and 1,123.14

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Solution

The fourth proportional to 3,494.82, 5,242.37 and 1,123.14 is: 1,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.82 : 5,242.37 = 1,123.14 : x
  2. Step 2: Convert to fraction form
    3,494.82/5,242.37 = 1,123.14/x
  3. Step 3: Cross multiply
    3,494.82x = 5,242.37 × 1,123.14
  4. Step 4: Simplify right side
    3,494.82x = 5,887,886.42
  5. Step 5: Solve for x
    x = 5,887,886.42/3,494.82
  6. Step 6: Final answer
    x = 1,684.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.