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Finding the Fourth Proportional to 6,345.72, 8,757.24 and 3,693.60

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Solution

The fourth proportional to 6,345.72, 8,757.24 and 3,693.60 is: 5,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.72 : 8,757.24 = 3,693.60 : x
  2. Step 2: Convert to fraction form
    6,345.72/8,757.24 = 3,693.60/x
  3. Step 3: Cross multiply
    6,345.72x = 8,757.24 × 3,693.60
  4. Step 4: Simplify right side
    6,345.72x = 32,345,741.66
  5. Step 5: Solve for x
    x = 32,345,741.66/6,345.72
  6. Step 6: Final answer
    x = 5,097.25

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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.