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Finding the Fourth Proportional to 5,844, 8,065.47 and 3,858.69

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Solution

The fourth proportional to 5,844, 8,065.47 and 3,858.69 is: 5,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844 : 8,065.47 = 3,858.69 : x
  2. Step 2: Convert to fraction form
    5,844/8,065.47 = 3,858.69/x
  3. Step 3: Cross multiply
    5,844x = 8,065.47 × 3,858.69
  4. Step 4: Simplify right side
    5,844x = 31,122,148.43
  5. Step 5: Solve for x
    x = 31,122,148.43/5,844
  6. Step 6: Final answer
    x = 5,325.49

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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.