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Finding the Fourth Proportional to 5,103.44, 7,645.42 and 3,457.16

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Solution

The fourth proportional to 5,103.44, 7,645.42 and 3,457.16 is: 5,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.44 : 7,645.42 = 3,457.16 : x
  2. Step 2: Convert to fraction form
    5,103.44/7,645.42 = 3,457.16/x
  3. Step 3: Cross multiply
    5,103.44x = 7,645.42 × 3,457.16
  4. Step 4: Simplify right side
    5,103.44x = 26,431,440.21
  5. Step 5: Solve for x
    x = 26,431,440.21/5,103.44
  6. Step 6: Final answer
    x = 5,179.14

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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.