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Finding the Fourth Proportional to 5,942.90, 8,911.82 and 2,430.47

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Solution

The fourth proportional to 5,942.90, 8,911.82 and 2,430.47 is: 3,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.90 : 8,911.82 = 2,430.47 : x
  2. Step 2: Convert to fraction form
    5,942.90/8,911.82 = 2,430.47/x
  3. Step 3: Cross multiply
    5,942.90x = 8,911.82 × 2,430.47
  4. Step 4: Simplify right side
    5,942.90x = 21,659,939.51
  5. Step 5: Solve for x
    x = 21,659,939.51/5,942.90
  6. Step 6: Final answer
    x = 3,644.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.