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Finding the Fourth Proportional to 3,423.04, 5,134.17 and 958.06

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Solution

The fourth proportional to 3,423.04, 5,134.17 and 958.06 is: 1,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.04 : 5,134.17 = 958.06 : x
  2. Step 2: Convert to fraction form
    3,423.04/5,134.17 = 958.06/x
  3. Step 3: Cross multiply
    3,423.04x = 5,134.17 × 958.06
  4. Step 4: Simplify right side
    3,423.04x = 4,918,812.45
  5. Step 5: Solve for x
    x = 4,918,812.45/3,423.04
  6. Step 6: Final answer
    x = 1,436.97

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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.