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Finding the Fourth Proportional to 6,191.64, 8,544.49 and 3,539.06

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Solution

The fourth proportional to 6,191.64, 8,544.49 and 3,539.06 is: 4,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.64 : 8,544.49 = 3,539.06 : x
  2. Step 2: Convert to fraction form
    6,191.64/8,544.49 = 3,539.06/x
  3. Step 3: Cross multiply
    6,191.64x = 8,544.49 × 3,539.06
  4. Step 4: Simplify right side
    6,191.64x = 30,239,443.25
  5. Step 5: Solve for x
    x = 30,239,443.25/6,191.64
  6. Step 6: Final answer
    x = 4,883.91

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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.