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Finding the Fourth Proportional to 5,156, 7,735.28 and 1,508

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Solution

The fourth proportional to 5,156, 7,735.28 and 1,508 is: 2,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156 : 7,735.28 = 1,508 : x
  2. Step 2: Convert to fraction form
    5,156/7,735.28 = 1,508/x
  3. Step 3: Cross multiply
    5,156x = 7,735.28 × 1,508
  4. Step 4: Simplify right side
    5,156x = 11,664,802.24
  5. Step 5: Solve for x
    x = 11,664,802.24/5,156
  6. Step 6: Final answer
    x = 2,262.37

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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.