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Finding the Fourth Proportional to 4,168.53, 5,749.84 and 2,488.62

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Solution

The fourth proportional to 4,168.53, 5,749.84 and 2,488.62 is: 3,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.53 : 5,749.84 = 2,488.62 : x
  2. Step 2: Convert to fraction form
    4,168.53/5,749.84 = 2,488.62/x
  3. Step 3: Cross multiply
    4,168.53x = 5,749.84 × 2,488.62
  4. Step 4: Simplify right side
    4,168.53x = 14,309,154.38
  5. Step 5: Solve for x
    x = 14,309,154.38/4,168.53
  6. Step 6: Final answer
    x = 3,432.67

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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.