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Finding the Fourth Proportional to 5,308.98, 7,966.23 and 2,967.54

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Solution

The fourth proportional to 5,308.98, 7,966.23 and 2,967.54 is: 4,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.98 : 7,966.23 = 2,967.54 : x
  2. Step 2: Convert to fraction form
    5,308.98/7,966.23 = 2,967.54/x
  3. Step 3: Cross multiply
    5,308.98x = 7,966.23 × 2,967.54
  4. Step 4: Simplify right side
    5,308.98x = 23,640,106.17
  5. Step 5: Solve for x
    x = 23,640,106.17/5,308.98
  6. Step 6: Final answer
    x = 4,452.85

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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.