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Finding the Fourth Proportional to 5,305.40, 7,958.10 and 3,434.30

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Solution

The fourth proportional to 5,305.40, 7,958.10 and 3,434.30 is: 5,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.40 : 7,958.10 = 3,434.30 : x
  2. Step 2: Convert to fraction form
    5,305.40/7,958.10 = 3,434.30/x
  3. Step 3: Cross multiply
    5,305.40x = 7,958.10 × 3,434.30
  4. Step 4: Simplify right side
    5,305.40x = 27,330,502.83
  5. Step 5: Solve for x
    x = 27,330,502.83/5,305.40
  6. Step 6: Final answer
    x = 5,151.45

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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.