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Finding the Fourth Proportional to 4,109.54, 6,172.24 and 3,925.22

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Solution

The fourth proportional to 4,109.54, 6,172.24 and 3,925.22 is: 5,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.54 : 6,172.24 = 3,925.22 : x
  2. Step 2: Convert to fraction form
    4,109.54/6,172.24 = 3,925.22/x
  3. Step 3: Cross multiply
    4,109.54x = 6,172.24 × 3,925.22
  4. Step 4: Simplify right side
    4,109.54x = 24,227,399.89
  5. Step 5: Solve for x
    x = 24,227,399.89/4,109.54
  6. Step 6: Final answer
    x = 5,895.40

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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.