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Finding the Fourth Proportional to 4,813.84, 7,221.12 and 1,351

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Solution

The fourth proportional to 4,813.84, 7,221.12 and 1,351 is: 2,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.84 : 7,221.12 = 1,351 : x
  2. Step 2: Convert to fraction form
    4,813.84/7,221.12 = 1,351/x
  3. Step 3: Cross multiply
    4,813.84x = 7,221.12 × 1,351
  4. Step 4: Simplify right side
    4,813.84x = 9,755,733.12
  5. Step 5: Solve for x
    x = 9,755,733.12/4,813.84
  6. Step 6: Final answer
    x = 2,026.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.