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Finding the Fourth Proportional to 5,966.47, 8,229.93 and 3,844.75

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Solution

The fourth proportional to 5,966.47, 8,229.93 and 3,844.75 is: 5,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.47 : 8,229.93 = 3,844.75 : x
  2. Step 2: Convert to fraction form
    5,966.47/8,229.93 = 3,844.75/x
  3. Step 3: Cross multiply
    5,966.47x = 8,229.93 × 3,844.75
  4. Step 4: Simplify right side
    5,966.47x = 31,642,023.37
  5. Step 5: Solve for x
    x = 31,642,023.37/5,966.47
  6. Step 6: Final answer
    x = 5,303.31

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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.