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Finding the Fourth Proportional to 4,212.84, 5,813.86 and 2,349.88

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Solution

The fourth proportional to 4,212.84, 5,813.86 and 2,349.88 is: 3,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.84 : 5,813.86 = 2,349.88 : x
  2. Step 2: Convert to fraction form
    4,212.84/5,813.86 = 2,349.88/x
  3. Step 3: Cross multiply
    4,212.84x = 5,813.86 × 2,349.88
  4. Step 4: Simplify right side
    4,212.84x = 13,661,873.34
  5. Step 5: Solve for x
    x = 13,661,873.34/4,212.84
  6. Step 6: Final answer
    x = 3,242.91

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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.