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Finding the Fourth Proportional to 3,394.29, 5,090.70 and 929.34

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Solution

The fourth proportional to 3,394.29, 5,090.70 and 929.34 is: 1,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.29 : 5,090.70 = 929.34 : x
  2. Step 2: Convert to fraction form
    3,394.29/5,090.70 = 929.34/x
  3. Step 3: Cross multiply
    3,394.29x = 5,090.70 × 929.34
  4. Step 4: Simplify right side
    3,394.29x = 4,730,991.14
  5. Step 5: Solve for x
    x = 4,730,991.14/3,394.29
  6. Step 6: Final answer
    x = 1,393.81

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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.