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Finding the Fourth Proportional to 6,398.30, 8,832.06 and 3,746.54

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Solution

The fourth proportional to 6,398.30, 8,832.06 and 3,746.54 is: 5,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.30 : 8,832.06 = 3,746.54 : x
  2. Step 2: Convert to fraction form
    6,398.30/8,832.06 = 3,746.54/x
  3. Step 3: Cross multiply
    6,398.30x = 8,832.06 × 3,746.54
  4. Step 4: Simplify right side
    6,398.30x = 33,089,666.07
  5. Step 5: Solve for x
    x = 33,089,666.07/6,398.30
  6. Step 6: Final answer
    x = 5,171.63

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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.