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Finding the Fourth Proportional to 5,342.88, 8,014.26 and 1,832.88

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Solution

The fourth proportional to 5,342.88, 8,014.26 and 1,832.88 is: 2,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.88 : 8,014.26 = 1,832.88 : x
  2. Step 2: Convert to fraction form
    5,342.88/8,014.26 = 1,832.88/x
  3. Step 3: Cross multiply
    5,342.88x = 8,014.26 × 1,832.88
  4. Step 4: Simplify right side
    5,342.88x = 14,689,176.87
  5. Step 5: Solve for x
    x = 14,689,176.87/5,342.88
  6. Step 6: Final answer
    x = 2,749.30

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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.