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Finding the Fourth Proportional to 5,748.02, 8,609.19 and 4,998.02

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Solution

The fourth proportional to 5,748.02, 8,609.19 and 4,998.02 is: 7,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.02 : 8,609.19 = 4,998.02 : x
  2. Step 2: Convert to fraction form
    5,748.02/8,609.19 = 4,998.02/x
  3. Step 3: Cross multiply
    5,748.02x = 8,609.19 × 4,998.02
  4. Step 4: Simplify right side
    5,748.02x = 43,028,903.80
  5. Step 5: Solve for x
    x = 43,028,903.80/5,748.02
  6. Step 6: Final answer
    x = 7,485.87

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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.