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Finding the Fourth Proportional to 5,235.40, 7,224.59 and 2,996.76

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Solution

The fourth proportional to 5,235.40, 7,224.59 and 2,996.76 is: 4,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.40 : 7,224.59 = 2,996.76 : x
  2. Step 2: Convert to fraction form
    5,235.40/7,224.59 = 2,996.76/x
  3. Step 3: Cross multiply
    5,235.40x = 7,224.59 × 2,996.76
  4. Step 4: Simplify right side
    5,235.40x = 21,650,396.91
  5. Step 5: Solve for x
    x = 21,650,396.91/5,235.40
  6. Step 6: Final answer
    x = 4,135.38

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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.