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Finding the Fourth Proportional to 4,311.48, 6,458.02 and 2,086.94

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Solution

The fourth proportional to 4,311.48, 6,458.02 and 2,086.94 is: 3,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.48 : 6,458.02 = 2,086.94 : x
  2. Step 2: Convert to fraction form
    4,311.48/6,458.02 = 2,086.94/x
  3. Step 3: Cross multiply
    4,311.48x = 6,458.02 × 2,086.94
  4. Step 4: Simplify right side
    4,311.48x = 13,477,500.26
  5. Step 5: Solve for x
    x = 13,477,500.26/4,311.48
  6. Step 6: Final answer
    x = 3,125.96

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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.