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Finding the Fourth Proportional to 5,380.61, 7,424.87 and 3,023.10

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Solution

The fourth proportional to 5,380.61, 7,424.87 and 3,023.10 is: 4,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.61 : 7,424.87 = 3,023.10 : x
  2. Step 2: Convert to fraction form
    5,380.61/7,424.87 = 3,023.10/x
  3. Step 3: Cross multiply
    5,380.61x = 7,424.87 × 3,023.10
  4. Step 4: Simplify right side
    5,380.61x = 22,446,109.38
  5. Step 5: Solve for x
    x = 22,446,109.38/5,380.61
  6. Step 6: Final answer
    x = 4,171.67

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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.