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Finding the Fourth Proportional to 6,133.90, 8,451.76 and 4,141.00

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Solution

The fourth proportional to 6,133.90, 8,451.76 and 4,141.00 is: 5,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.90 : 8,451.76 = 4,141.00 : x
  2. Step 2: Convert to fraction form
    6,133.90/8,451.76 = 4,141.00/x
  3. Step 3: Cross multiply
    6,133.90x = 8,451.76 × 4,141.00
  4. Step 4: Simplify right side
    6,133.90x = 34,998,675.20
  5. Step 5: Solve for x
    x = 34,998,675.20/6,133.90
  6. Step 6: Final answer
    x = 5,705.78

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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.