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Finding the Fourth Proportional to 4,192.10, 6,288.15 and 4,192.10

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Solution

The fourth proportional to 4,192.10, 6,288.15 and 4,192.10 is: 6,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.10 : 6,288.15 = 4,192.10 : x
  2. Step 2: Convert to fraction form
    4,192.10/6,288.15 = 4,192.10/x
  3. Step 3: Cross multiply
    4,192.10x = 6,288.15 × 4,192.10
  4. Step 4: Simplify right side
    4,192.10x = 26,360,553.62
  5. Step 5: Solve for x
    x = 26,360,553.62/4,192.10
  6. Step 6: Final answer
    x = 6,288.15

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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.