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Finding the Fourth Proportional to 5,902.74, 8,855.63 and 1,742.58

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Solution

The fourth proportional to 5,902.74, 8,855.63 and 1,742.58 is: 2,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.74 : 8,855.63 = 1,742.58 : x
  2. Step 2: Convert to fraction form
    5,902.74/8,855.63 = 1,742.58/x
  3. Step 3: Cross multiply
    5,902.74x = 8,855.63 × 1,742.58
  4. Step 4: Simplify right side
    5,902.74x = 15,431,635.01
  5. Step 5: Solve for x
    x = 15,431,635.01/5,902.74
  6. Step 6: Final answer
    x = 2,614.32

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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.