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Finding the Fourth Proportional to 3,419.64, 5,123.88 and 2,596.86

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Solution

The fourth proportional to 3,419.64, 5,123.88 and 2,596.86 is: 3,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.64 : 5,123.88 = 2,596.86 : x
  2. Step 2: Convert to fraction form
    3,419.64/5,123.88 = 2,596.86/x
  3. Step 3: Cross multiply
    3,419.64x = 5,123.88 × 2,596.86
  4. Step 4: Simplify right side
    3,419.64x = 13,305,999.02
  5. Step 5: Solve for x
    x = 13,305,999.02/3,419.64
  6. Step 6: Final answer
    x = 3,891.05

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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.