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Finding the Fourth Proportional to 5,802.82, 8,009.85 and 4,034.50

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Solution

The fourth proportional to 5,802.82, 8,009.85 and 4,034.50 is: 5,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.82 : 8,009.85 = 4,034.50 : x
  2. Step 2: Convert to fraction form
    5,802.82/8,009.85 = 4,034.50/x
  3. Step 3: Cross multiply
    5,802.82x = 8,009.85 × 4,034.50
  4. Step 4: Simplify right side
    5,802.82x = 32,315,739.83
  5. Step 5: Solve for x
    x = 32,315,739.83/5,802.82
  6. Step 6: Final answer
    x = 5,568.97

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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.