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Finding the Fourth Proportional to 4,743.71, 7,096.93 and 4,189.67

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Solution

The fourth proportional to 4,743.71, 7,096.93 and 4,189.67 is: 6,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.71 : 7,096.93 = 4,189.67 : x
  2. Step 2: Convert to fraction form
    4,743.71/7,096.93 = 4,189.67/x
  3. Step 3: Cross multiply
    4,743.71x = 7,096.93 × 4,189.67
  4. Step 4: Simplify right side
    4,743.71x = 29,733,748.75
  5. Step 5: Solve for x
    x = 29,733,748.75/4,743.71
  6. Step 6: Final answer
    x = 6,268.04

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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.