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Finding the Fourth Proportional to 5,742.72, 7,924.34 and 3,225.11

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Solution

The fourth proportional to 5,742.72, 7,924.34 and 3,225.11 is: 4,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.72 : 7,924.34 = 3,225.11 : x
  2. Step 2: Convert to fraction form
    5,742.72/7,924.34 = 3,225.11/x
  3. Step 3: Cross multiply
    5,742.72x = 7,924.34 × 3,225.11
  4. Step 4: Simplify right side
    5,742.72x = 25,556,836.62
  5. Step 5: Solve for x
    x = 25,556,836.62/5,742.72
  6. Step 6: Final answer
    x = 4,450.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.