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Finding the Fourth Proportional to 5,337, 7,362 and 3,098.59

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Solution

The fourth proportional to 5,337, 7,362 and 3,098.59 is: 4,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337 : 7,362 = 3,098.59 : x
  2. Step 2: Convert to fraction form
    5,337/7,362 = 3,098.59/x
  3. Step 3: Cross multiply
    5,337x = 7,362 × 3,098.59
  4. Step 4: Simplify right side
    5,337x = 22,811,819.58
  5. Step 5: Solve for x
    x = 22,811,819.58/5,337
  6. Step 6: Final answer
    x = 4,274.28

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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.