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Finding the Fourth Proportional to 6,407.98, 8,840.64 and 3,754.42

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Solution

The fourth proportional to 6,407.98, 8,840.64 and 3,754.42 is: 5,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.98 : 8,840.64 = 3,754.42 : x
  2. Step 2: Convert to fraction form
    6,407.98/8,840.64 = 3,754.42/x
  3. Step 3: Cross multiply
    6,407.98x = 8,840.64 × 3,754.42
  4. Step 4: Simplify right side
    6,407.98x = 33,191,467.61
  5. Step 5: Solve for x
    x = 33,191,467.61/6,407.98
  6. Step 6: Final answer
    x = 5,179.71

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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.