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Finding the Fourth Proportional to 4,229.84, 5,835.75 and 2,459.99

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Solution

The fourth proportional to 4,229.84, 5,835.75 and 2,459.99 is: 3,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.84 : 5,835.75 = 2,459.99 : x
  2. Step 2: Convert to fraction form
    4,229.84/5,835.75 = 2,459.99/x
  3. Step 3: Cross multiply
    4,229.84x = 5,835.75 × 2,459.99
  4. Step 4: Simplify right side
    4,229.84x = 14,355,874.34
  5. Step 5: Solve for x
    x = 14,355,874.34/4,229.84
  6. Step 6: Final answer
    x = 3,393.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.