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Finding the Fourth Proportional to 3,423.88, 5,135.03 and 958.87

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Solution

The fourth proportional to 3,423.88, 5,135.03 and 958.87 is: 1,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.88 : 5,135.03 = 958.87 : x
  2. Step 2: Convert to fraction form
    3,423.88/5,135.03 = 958.87/x
  3. Step 3: Cross multiply
    3,423.88x = 5,135.03 × 958.87
  4. Step 4: Simplify right side
    3,423.88x = 4,923,826.22
  5. Step 5: Solve for x
    x = 4,923,826.22/3,423.88
  6. Step 6: Final answer
    x = 1,438.08

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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.