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Finding the Fourth Proportional to 6,257.44, 8,635.53 and 3,462.94

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Solution

The fourth proportional to 6,257.44, 8,635.53 and 3,462.94 is: 4,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.44 : 8,635.53 = 3,462.94 : x
  2. Step 2: Convert to fraction form
    6,257.44/8,635.53 = 3,462.94/x
  3. Step 3: Cross multiply
    6,257.44x = 8,635.53 × 3,462.94
  4. Step 4: Simplify right side
    6,257.44x = 29,904,322.26
  5. Step 5: Solve for x
    x = 29,904,322.26/6,257.44
  6. Step 6: Final answer
    x = 4,779.00

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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.