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Finding the Fourth Proportional to 5,343.92, 8,014.14 and 1,785.09

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Solution

The fourth proportional to 5,343.92, 8,014.14 and 1,785.09 is: 2,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.92 : 8,014.14 = 1,785.09 : x
  2. Step 2: Convert to fraction form
    5,343.92/8,014.14 = 1,785.09/x
  3. Step 3: Cross multiply
    5,343.92x = 8,014.14 × 1,785.09
  4. Step 4: Simplify right side
    5,343.92x = 14,305,961.17
  5. Step 5: Solve for x
    x = 14,305,961.17/5,343.92
  6. Step 6: Final answer
    x = 2,677.05

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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.