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Finding the Fourth Proportional to 3,815.37, 5,722.13 and 1,042.06

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Solution

The fourth proportional to 3,815.37, 5,722.13 and 1,042.06 is: 1,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.37 : 5,722.13 = 1,042.06 : x
  2. Step 2: Convert to fraction form
    3,815.37/5,722.13 = 1,042.06/x
  3. Step 3: Cross multiply
    3,815.37x = 5,722.13 × 1,042.06
  4. Step 4: Simplify right side
    3,815.37x = 5,962,774.18
  5. Step 5: Solve for x
    x = 5,962,774.18/3,815.37
  6. Step 6: Final answer
    x = 1,562.83

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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.