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Finding the Fourth Proportional to 3,423.60, 5,134.86 and 958.14

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Solution

The fourth proportional to 3,423.60, 5,134.86 and 958.14 is: 1,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.60 : 5,134.86 = 958.14 : x
  2. Step 2: Convert to fraction form
    3,423.60/5,134.86 = 958.14/x
  3. Step 3: Cross multiply
    3,423.60x = 5,134.86 × 958.14
  4. Step 4: Simplify right side
    3,423.60x = 4,919,914.76
  5. Step 5: Solve for x
    x = 4,919,914.76/3,423.60
  6. Step 6: Final answer
    x = 1,437.06

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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.