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Finding the Fourth Proportional to 3,394.41, 5,090.82 and 929.42

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Solution

The fourth proportional to 3,394.41, 5,090.82 and 929.42 is: 1,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.41 : 5,090.82 = 929.42 : x
  2. Step 2: Convert to fraction form
    3,394.41/5,090.82 = 929.42/x
  3. Step 3: Cross multiply
    3,394.41x = 5,090.82 × 929.42
  4. Step 4: Simplify right side
    3,394.41x = 4,731,536.55
  5. Step 5: Solve for x
    x = 4,731,536.55/3,394.41
  6. Step 6: Final answer
    x = 1,393.92

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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.