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Finding the Fourth Proportional to 4,214, 5,815.32 and 2,351

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Solution

The fourth proportional to 4,214, 5,815.32 and 2,351 is: 3,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214 : 5,815.32 = 2,351 : x
  2. Step 2: Convert to fraction form
    4,214/5,815.32 = 2,351/x
  3. Step 3: Cross multiply
    4,214x = 5,815.32 × 2,351
  4. Step 4: Simplify right side
    4,214x = 13,671,817.32
  5. Step 5: Solve for x
    x = 13,671,817.32/4,214
  6. Step 6: Final answer
    x = 3,244.38

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Why These Related Problems?

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