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Finding the Fourth Proportional to 4,191.20, 6,277.20 and 4,095.20

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Solution

The fourth proportional to 4,191.20, 6,277.20 and 4,095.20 is: 6,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.20 : 6,277.20 = 4,095.20 : x
  2. Step 2: Convert to fraction form
    4,191.20/6,277.20 = 4,095.20/x
  3. Step 3: Cross multiply
    4,191.20x = 6,277.20 × 4,095.20
  4. Step 4: Simplify right side
    4,191.20x = 25,706,389.44
  5. Step 5: Solve for x
    x = 25,706,389.44/4,191.20
  6. Step 6: Final answer
    x = 6,133.42

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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.