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Finding the Fourth Proportional to 5,804.10, 8,009.62 and 3,151.46

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Solution

The fourth proportional to 5,804.10, 8,009.62 and 3,151.46 is: 4,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.10 : 8,009.62 = 3,151.46 : x
  2. Step 2: Convert to fraction form
    5,804.10/8,009.62 = 3,151.46/x
  3. Step 3: Cross multiply
    5,804.10x = 8,009.62 × 3,151.46
  4. Step 4: Simplify right side
    5,804.10x = 25,241,997.05
  5. Step 5: Solve for x
    x = 25,241,997.05/5,804.10
  6. Step 6: Final answer
    x = 4,348.99

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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.