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Finding the Fourth Proportional to 3,445.68, 5,170.21 and 1,367.16

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Solution

The fourth proportional to 3,445.68, 5,170.21 and 1,367.16 is: 2,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.68 : 5,170.21 = 1,367.16 : x
  2. Step 2: Convert to fraction form
    3,445.68/5,170.21 = 1,367.16/x
  3. Step 3: Cross multiply
    3,445.68x = 5,170.21 × 1,367.16
  4. Step 4: Simplify right side
    3,445.68x = 7,068,513.81
  5. Step 5: Solve for x
    x = 7,068,513.81/3,445.68
  6. Step 6: Final answer
    x = 2,051.42

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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.