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Finding the Fourth Proportional to 5,742.93, 8,614.23 and 2,412.96

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Solution

The fourth proportional to 5,742.93, 8,614.23 and 2,412.96 is: 3,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.93 : 8,614.23 = 2,412.96 : x
  2. Step 2: Convert to fraction form
    5,742.93/8,614.23 = 2,412.96/x
  3. Step 3: Cross multiply
    5,742.93x = 8,614.23 × 2,412.96
  4. Step 4: Simplify right side
    5,742.93x = 20,785,792.42
  5. Step 5: Solve for x
    x = 20,785,792.42/5,742.93
  6. Step 6: Final answer
    x = 3,619.37

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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.