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Finding the Fourth Proportional to 3,890.84, 5,823.50 and 2,429.19

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Solution

The fourth proportional to 3,890.84, 5,823.50 and 2,429.19 is: 3,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.84 : 5,823.50 = 2,429.19 : x
  2. Step 2: Convert to fraction form
    3,890.84/5,823.50 = 2,429.19/x
  3. Step 3: Cross multiply
    3,890.84x = 5,823.50 × 2,429.19
  4. Step 4: Simplify right side
    3,890.84x = 14,146,375.82
  5. Step 5: Solve for x
    x = 14,146,375.82/3,890.84
  6. Step 6: Final answer
    x = 3,635.82

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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.