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Finding the Fourth Proportional to 4,285.41, 6,429.06 and 1,822.34

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Solution

The fourth proportional to 4,285.41, 6,429.06 and 1,822.34 is: 2,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.41 : 6,429.06 = 1,822.34 : x
  2. Step 2: Convert to fraction form
    4,285.41/6,429.06 = 1,822.34/x
  3. Step 3: Cross multiply
    4,285.41x = 6,429.06 × 1,822.34
  4. Step 4: Simplify right side
    4,285.41x = 11,715,901.06
  5. Step 5: Solve for x
    x = 11,715,901.06/4,285.41
  6. Step 6: Final answer
    x = 2,733.90

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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.