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Finding the Fourth Proportional to 5,820.48, 8,029.92 and 3,828.48

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Solution

The fourth proportional to 5,820.48, 8,029.92 and 3,828.48 is: 5,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.48 : 8,029.92 = 3,828.48 : x
  2. Step 2: Convert to fraction form
    5,820.48/8,029.92 = 3,828.48/x
  3. Step 3: Cross multiply
    5,820.48x = 8,029.92 × 3,828.48
  4. Step 4: Simplify right side
    5,820.48x = 30,742,388.12
  5. Step 5: Solve for x
    x = 30,742,388.12/5,820.48
  6. Step 6: Final answer
    x = 5,281.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.