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Finding the Fourth Proportional to 5,347.85, 8,021.16 and 1,451.97

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Solution

The fourth proportional to 5,347.85, 8,021.16 and 1,451.97 is: 2,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.85 : 8,021.16 = 1,451.97 : x
  2. Step 2: Convert to fraction form
    5,347.85/8,021.16 = 1,451.97/x
  3. Step 3: Cross multiply
    5,347.85x = 8,021.16 × 1,451.97
  4. Step 4: Simplify right side
    5,347.85x = 11,646,483.69
  5. Step 5: Solve for x
    x = 11,646,483.69/5,347.85
  6. Step 6: Final answer
    x = 2,177.79

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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.