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Finding the Fourth Proportional to 6,410.21, 8,843.65 and 4,174.00

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Solution

The fourth proportional to 6,410.21, 8,843.65 and 4,174.00 is: 5,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.21 : 8,843.65 = 4,174.00 : x
  2. Step 2: Convert to fraction form
    6,410.21/8,843.65 = 4,174.00/x
  3. Step 3: Cross multiply
    6,410.21x = 8,843.65 × 4,174.00
  4. Step 4: Simplify right side
    6,410.21x = 36,913,362.56
  5. Step 5: Solve for x
    x = 36,913,362.56/6,410.21
  6. Step 6: Final answer
    x = 5,758.53

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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.