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Finding the Fourth Proportional to 4,285.51, 6,429.23 and 1,822.44

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Solution

The fourth proportional to 4,285.51, 6,429.23 and 1,822.44 is: 2,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.51 : 6,429.23 = 1,822.44 : x
  2. Step 2: Convert to fraction form
    4,285.51/6,429.23 = 1,822.44/x
  3. Step 3: Cross multiply
    4,285.51x = 6,429.23 × 1,822.44
  4. Step 4: Simplify right side
    4,285.51x = 11,716,885.92
  5. Step 5: Solve for x
    x = 11,716,885.92/4,285.51
  6. Step 6: Final answer
    x = 2,734.07

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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.