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Finding the Fourth Proportional to 5,309.98, 7,967.73 and 2,968.54

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Solution

The fourth proportional to 5,309.98, 7,967.73 and 2,968.54 is: 4,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.98 : 7,967.73 = 2,968.54 : x
  2. Step 2: Convert to fraction form
    5,309.98/7,967.73 = 2,968.54/x
  3. Step 3: Cross multiply
    5,309.98x = 7,967.73 × 2,968.54
  4. Step 4: Simplify right side
    5,309.98x = 23,652,525.21
  5. Step 5: Solve for x
    x = 23,652,525.21/5,309.98
  6. Step 6: Final answer
    x = 4,454.35

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1.5x scale

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.