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Finding the Fourth Proportional to 6,457.44, 8,911.56 and 3,804.96

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Solution

The fourth proportional to 6,457.44, 8,911.56 and 3,804.96 is: 5,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.44 : 8,911.56 = 3,804.96 : x
  2. Step 2: Convert to fraction form
    6,457.44/8,911.56 = 3,804.96/x
  3. Step 3: Cross multiply
    6,457.44x = 8,911.56 × 3,804.96
  4. Step 4: Simplify right side
    6,457.44x = 33,908,129.34
  5. Step 5: Solve for x
    x = 33,908,129.34/6,457.44
  6. Step 6: Final answer
    x = 5,251.02

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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.