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Finding the Fourth Proportional to 5,164.93, 7,748.21 and 3,087.28

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Solution

The fourth proportional to 5,164.93, 7,748.21 and 3,087.28 is: 4,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.93 : 7,748.21 = 3,087.28 : x
  2. Step 2: Convert to fraction form
    5,164.93/7,748.21 = 3,087.28/x
  3. Step 3: Cross multiply
    5,164.93x = 7,748.21 × 3,087.28
  4. Step 4: Simplify right side
    5,164.93x = 23,920,911.17
  5. Step 5: Solve for x
    x = 23,920,911.17/5,164.93
  6. Step 6: Final answer
    x = 4,631.41

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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.